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Finding the Fourth Proportional to 24,472.78, 36,707.68 and 8,678.59

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Solution

The fourth proportional to 24,472.78, 36,707.68 and 8,678.59 is: 13,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.78 : 36,707.68 = 8,678.59 : x
  2. Step 2: Convert to fraction form
    24,472.78/36,707.68 = 8,678.59/x
  3. Step 3: Cross multiply
    24,472.78x = 36,707.68 × 8,678.59
  4. Step 4: Simplify right side
    24,472.78x = 318,570,904.57
  5. Step 5: Solve for x
    x = 318,570,904.57/24,472.78
  6. Step 6: Final answer
    x = 13,017.36

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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.