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Finding the Fourth Proportional to 24,802.69, 34,227.25 and 14,047.41

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Solution

The fourth proportional to 24,802.69, 34,227.25 and 14,047.41 is: 19,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.69 : 34,227.25 = 14,047.41 : x
  2. Step 2: Convert to fraction form
    24,802.69/34,227.25 = 14,047.41/x
  3. Step 3: Cross multiply
    24,802.69x = 34,227.25 × 14,047.41
  4. Step 4: Simplify right side
    24,802.69x = 480,804,213.92
  5. Step 5: Solve for x
    x = 480,804,213.92/24,802.69
  6. Step 6: Final answer
    x = 19,385.16

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.