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Finding the Fourth Proportional to 24,515.42, 36,785.28 and 9,724.02

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Solution

The fourth proportional to 24,515.42, 36,785.28 and 9,724.02 is: 14,590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.42 : 36,785.28 = 9,724.02 : x
  2. Step 2: Convert to fraction form
    24,515.42/36,785.28 = 9,724.02/x
  3. Step 3: Cross multiply
    24,515.42x = 36,785.28 × 9,724.02
  4. Step 4: Simplify right side
    24,515.42x = 357,700,798.43
  5. Step 5: Solve for x
    x = 357,700,798.43/24,515.42
  6. Step 6: Final answer
    x = 14,590.85

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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.