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Finding the Fourth Proportional to 24,497.80, 36,728.70 and 9,699.40

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Solution

The fourth proportional to 24,497.80, 36,728.70 and 9,699.40 is: 14,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.80 : 36,728.70 = 9,699.40 : x
  2. Step 2: Convert to fraction form
    24,497.80/36,728.70 = 9,699.40/x
  3. Step 3: Cross multiply
    24,497.80x = 36,728.70 × 9,699.40
  4. Step 4: Simplify right side
    24,497.80x = 356,246,352.78
  5. Step 5: Solve for x
    x = 356,246,352.78/24,497.80
  6. Step 6: Final answer
    x = 14,541.97

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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.