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Finding the Fourth Proportional to 24,349.31, 36,544.68 and 9,568.56

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Solution

The fourth proportional to 24,349.31, 36,544.68 and 9,568.56 is: 14,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,349.31 : 36,544.68 = 9,568.56 : x
  2. Step 2: Convert to fraction form
    24,349.31/36,544.68 = 9,568.56/x
  3. Step 3: Cross multiply
    24,349.31x = 36,544.68 × 9,568.56
  4. Step 4: Simplify right side
    24,349.31x = 349,679,963.26
  5. Step 5: Solve for x
    x = 349,679,963.26/24,349.31
  6. Step 6: Final answer
    x = 14,360.98

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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.