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Finding the Fourth Proportional to 24,507.72, 33,824.16 and 13,753.74

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Solution

The fourth proportional to 24,507.72, 33,824.16 and 13,753.74 is: 18,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.72 : 33,824.16 = 13,753.74 : x
  2. Step 2: Convert to fraction form
    24,507.72/33,824.16 = 13,753.74/x
  3. Step 3: Cross multiply
    24,507.72x = 33,824.16 × 13,753.74
  4. Step 4: Simplify right side
    24,507.72x = 465,208,702.36
  5. Step 5: Solve for x
    x = 465,208,702.36/24,507.72
  6. Step 6: Final answer
    x = 18,982.13

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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.