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Finding the Fourth Proportional to 24,339.57, 36,493.65 and 9,549.98

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Solution

The fourth proportional to 24,339.57, 36,493.65 and 9,549.98 is: 14,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339.57 : 36,493.65 = 9,549.98 : x
  2. Step 2: Convert to fraction form
    24,339.57/36,493.65 = 9,549.98/x
  3. Step 3: Cross multiply
    24,339.57x = 36,493.65 × 9,549.98
  4. Step 4: Simplify right side
    24,339.57x = 348,513,617.82
  5. Step 5: Solve for x
    x = 348,513,617.82/24,339.57
  6. Step 6: Final answer
    x = 14,318.81

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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.