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Finding the Fourth Proportional to 14,753.72, 22,129.86 and 5,519

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Solution

The fourth proportional to 14,753.72, 22,129.86 and 5,519 is: 8,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753.72 : 22,129.86 = 5,519 : x
  2. Step 2: Convert to fraction form
    14,753.72/22,129.86 = 5,519/x
  3. Step 3: Cross multiply
    14,753.72x = 22,129.86 × 5,519
  4. Step 4: Simplify right side
    14,753.72x = 122,134,697.34
  5. Step 5: Solve for x
    x = 122,134,697.34/14,753.72
  6. Step 6: Final answer
    x = 8,278.23

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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.