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Finding the Fourth Proportional to 24,596.49, 33,943 and 13,986.13

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Solution

The fourth proportional to 24,596.49, 33,943 and 13,986.13 is: 19,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596.49 : 33,943 = 13,986.13 : x
  2. Step 2: Convert to fraction form
    24,596.49/33,943 = 13,986.13/x
  3. Step 3: Cross multiply
    24,596.49x = 33,943 × 13,986.13
  4. Step 4: Simplify right side
    24,596.49x = 474,731,210.59
  5. Step 5: Solve for x
    x = 474,731,210.59/24,596.49
  6. Step 6: Final answer
    x = 19,300.77

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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.