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Finding the Fourth Proportional to 24,424.08, 36,658.80 and 9,643.20

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Solution

The fourth proportional to 24,424.08, 36,658.80 and 9,643.20 is: 14,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.08 : 36,658.80 = 9,643.20 : x
  2. Step 2: Convert to fraction form
    24,424.08/36,658.80 = 9,643.20/x
  3. Step 3: Cross multiply
    24,424.08x = 36,658.80 × 9,643.20
  4. Step 4: Simplify right side
    24,424.08x = 353,508,140.16
  5. Step 5: Solve for x
    x = 353,508,140.16/24,424.08
  6. Step 6: Final answer
    x = 14,473.75

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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.