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Finding the Fourth Proportional to 24,560, 33,892.80 and 13,382

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Solution

The fourth proportional to 24,560, 33,892.80 and 13,382 is: 18,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,560 : 33,892.80 = 13,382 : x
  2. Step 2: Convert to fraction form
    24,560/33,892.80 = 13,382/x
  3. Step 3: Cross multiply
    24,560x = 33,892.80 × 13,382
  4. Step 4: Simplify right side
    24,560x = 453,553,449.60
  5. Step 5: Solve for x
    x = 453,553,449.60/24,560
  6. Step 6: Final answer
    x = 18,467.16

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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.