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Finding the Fourth Proportional to 18,285.75, 25,234.34 and 9,902.25

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Solution

The fourth proportional to 18,285.75, 25,234.34 and 9,902.25 is: 13,665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.75 : 25,234.34 = 9,902.25 : x
  2. Step 2: Convert to fraction form
    18,285.75/25,234.34 = 9,902.25/x
  3. Step 3: Cross multiply
    18,285.75x = 25,234.34 × 9,902.25
  4. Step 4: Simplify right side
    18,285.75x = 249,876,693.75
  5. Step 5: Solve for x
    x = 249,876,693.75/18,285.75
  6. Step 6: Final answer
    x = 13,665.11

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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.