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Finding the Fourth Proportional to 24,271.38, 36,401.58 and 9,472.68

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Solution

The fourth proportional to 24,271.38, 36,401.58 and 9,472.68 is: 14,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.38 : 36,401.58 = 9,472.68 : x
  2. Step 2: Convert to fraction form
    24,271.38/36,401.58 = 9,472.68/x
  3. Step 3: Cross multiply
    24,271.38x = 36,401.58 × 9,472.68
  4. Step 4: Simplify right side
    24,271.38x = 344,820,518.83
  5. Step 5: Solve for x
    x = 344,820,518.83/24,271.38
  6. Step 6: Final answer
    x = 14,206.88

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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.