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Finding the Fourth Proportional to 24,494.20, 33,802.25 and 13,316.20

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Solution

The fourth proportional to 24,494.20, 33,802.25 and 13,316.20 is: 18,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.20 : 33,802.25 = 13,316.20 : x
  2. Step 2: Convert to fraction form
    24,494.20/33,802.25 = 13,316.20/x
  3. Step 3: Cross multiply
    24,494.20x = 33,802.25 × 13,316.20
  4. Step 4: Simplify right side
    24,494.20x = 450,117,521.45
  5. Step 5: Solve for x
    x = 450,117,521.45/24,494.20
  6. Step 6: Final answer
    x = 18,376.49

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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.