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Finding the Fourth Proportional to 24,503.40, 36,732.87 and 8,910

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Solution

The fourth proportional to 24,503.40, 36,732.87 and 8,910 is: 13,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.40 : 36,732.87 = 8,910 : x
  2. Step 2: Convert to fraction form
    24,503.40/36,732.87 = 8,910/x
  3. Step 3: Cross multiply
    24,503.40x = 36,732.87 × 8,910
  4. Step 4: Simplify right side
    24,503.40x = 327,289,871.70
  5. Step 5: Solve for x
    x = 327,289,871.70/24,503.40
  6. Step 6: Final answer
    x = 13,356.92

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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.