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Finding the Fourth Proportional to 27,143.46, 40,715.28 and 9,613.80

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Solution

The fourth proportional to 27,143.46, 40,715.28 and 9,613.80 is: 14,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.46 : 40,715.28 = 9,613.80 : x
  2. Step 2: Convert to fraction form
    27,143.46/40,715.28 = 9,613.80/x
  3. Step 3: Cross multiply
    27,143.46x = 40,715.28 × 9,613.80
  4. Step 4: Simplify right side
    27,143.46x = 391,428,558.86
  5. Step 5: Solve for x
    x = 391,428,558.86/27,143.46
  6. Step 6: Final answer
    x = 14,420.73

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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.