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Finding the Fourth Proportional to 24,516.30, 36,764.37 and 9,723.18

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Solution

The fourth proportional to 24,516.30, 36,764.37 and 9,723.18 is: 14,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.30 : 36,764.37 = 9,723.18 : x
  2. Step 2: Convert to fraction form
    24,516.30/36,764.37 = 9,723.18/x
  3. Step 3: Cross multiply
    24,516.30x = 36,764.37 × 9,723.18
  4. Step 4: Simplify right side
    24,516.30x = 357,466,587.10
  5. Step 5: Solve for x
    x = 357,466,587.10/24,516.30
  6. Step 6: Final answer
    x = 14,580.77

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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.