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Finding the Fourth Proportional to 18,799.52, 25,943.36 and 10,416

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Solution

The fourth proportional to 18,799.52, 25,943.36 and 10,416 is: 14,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,799.52 : 25,943.36 = 10,416 : x
  2. Step 2: Convert to fraction form
    18,799.52/25,943.36 = 10,416/x
  3. Step 3: Cross multiply
    18,799.52x = 25,943.36 × 10,416
  4. Step 4: Simplify right side
    18,799.52x = 270,226,037.76
  5. Step 5: Solve for x
    x = 270,226,037.76/18,799.52
  6. Step 6: Final answer
    x = 14,374.09

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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.