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Finding the Fourth Proportional to 18,285.50, 25,234.02 and 9,902

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Solution

The fourth proportional to 18,285.50, 25,234.02 and 9,902 is: 13,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.50 : 25,234.02 = 9,902 : x
  2. Step 2: Convert to fraction form
    18,285.50/25,234.02 = 9,902/x
  3. Step 3: Cross multiply
    18,285.50x = 25,234.02 × 9,902
  4. Step 4: Simplify right side
    18,285.50x = 249,867,266.04
  5. Step 5: Solve for x
    x = 249,867,266.04/18,285.50
  6. Step 6: Final answer
    x = 13,664.78

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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.