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Finding the Fourth Proportional to 27,331, 40,997.56 and 9,558.20

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Solution

The fourth proportional to 27,331, 40,997.56 and 9,558.20 is: 14,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,331 : 40,997.56 = 9,558.20 : x
  2. Step 2: Convert to fraction form
    27,331/40,997.56 = 9,558.20/x
  3. Step 3: Cross multiply
    27,331x = 40,997.56 × 9,558.20
  4. Step 4: Simplify right side
    27,331x = 391,862,877.99
  5. Step 5: Solve for x
    x = 391,862,877.99/27,331
  6. Step 6: Final answer
    x = 14,337.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.