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Finding the Fourth Proportional to 25,562.24, 38,349.04 and 9,980

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Solution

The fourth proportional to 25,562.24, 38,349.04 and 9,980 is: 14,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562.24 : 38,349.04 = 9,980 : x
  2. Step 2: Convert to fraction form
    25,562.24/38,349.04 = 9,980/x
  3. Step 3: Cross multiply
    25,562.24x = 38,349.04 × 9,980
  4. Step 4: Simplify right side
    25,562.24x = 382,723,419.20
  5. Step 5: Solve for x
    x = 382,723,419.20/25,562.24
  6. Step 6: Final answer
    x = 14,972.22

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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.