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Finding the Fourth Proportional to 24,902.25, 37,330.86 and 9,096.14

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Solution

The fourth proportional to 24,902.25, 37,330.86 and 9,096.14 is: 13,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.25 : 37,330.86 = 9,096.14 : x
  2. Step 2: Convert to fraction form
    24,902.25/37,330.86 = 9,096.14/x
  3. Step 3: Cross multiply
    24,902.25x = 37,330.86 × 9,096.14
  4. Step 4: Simplify right side
    24,902.25x = 339,566,542.23
  5. Step 5: Solve for x
    x = 339,566,542.23/24,902.25
  6. Step 6: Final answer
    x = 13,635.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.