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Finding the Fourth Proportional to 18,285.64, 25,234.12 and 9,902.16

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Solution

The fourth proportional to 18,285.64, 25,234.12 and 9,902.16 is: 13,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.64 : 25,234.12 = 9,902.16 : x
  2. Step 2: Convert to fraction form
    18,285.64/25,234.12 = 9,902.16/x
  3. Step 3: Cross multiply
    18,285.64x = 25,234.12 × 9,902.16
  4. Step 4: Simplify right side
    18,285.64x = 249,872,293.70
  5. Step 5: Solve for x
    x = 249,872,293.70/18,285.64
  6. Step 6: Final answer
    x = 13,664.95

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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.