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Finding the Fourth Proportional to 24,507.21, 36,772.98 and 9,715.80

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Solution

The fourth proportional to 24,507.21, 36,772.98 and 9,715.80 is: 14,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.21 : 36,772.98 = 9,715.80 : x
  2. Step 2: Convert to fraction form
    24,507.21/36,772.98 = 9,715.80/x
  3. Step 3: Cross multiply
    24,507.21x = 36,772.98 × 9,715.80
  4. Step 4: Simplify right side
    24,507.21x = 357,278,919.08
  5. Step 5: Solve for x
    x = 357,278,919.08/24,507.21
  6. Step 6: Final answer
    x = 14,578.52

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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.