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Finding the Fourth Proportional to 24,176.39, 36,264.60 and 7,537.76

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Solution

The fourth proportional to 24,176.39, 36,264.60 and 7,537.76 is: 11,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.39 : 36,264.60 = 7,537.76 : x
  2. Step 2: Convert to fraction form
    24,176.39/36,264.60 = 7,537.76/x
  3. Step 3: Cross multiply
    24,176.39x = 36,264.60 × 7,537.76
  4. Step 4: Simplify right side
    24,176.39x = 273,353,913.69
  5. Step 5: Solve for x
    x = 273,353,913.69/24,176.39
  6. Step 6: Final answer
    x = 11,306.65

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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.