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Finding the Fourth Proportional to 18,767.52, 25,899.20 and 10,384

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Solution

The fourth proportional to 18,767.52, 25,899.20 and 10,384 is: 14,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,767.52 : 25,899.20 = 10,384 : x
  2. Step 2: Convert to fraction form
    18,767.52/25,899.20 = 10,384/x
  3. Step 3: Cross multiply
    18,767.52x = 25,899.20 × 10,384
  4. Step 4: Simplify right side
    18,767.52x = 268,937,292.80
  5. Step 5: Solve for x
    x = 268,937,292.80/18,767.52
  6. Step 6: Final answer
    x = 14,329.93

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