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Finding the Fourth Proportional to 14,695.74, 22,045.92 and 4,832.76

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Solution

The fourth proportional to 14,695.74, 22,045.92 and 4,832.76 is: 7,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695.74 : 22,045.92 = 4,832.76 : x
  2. Step 2: Convert to fraction form
    14,695.74/22,045.92 = 4,832.76/x
  3. Step 3: Cross multiply
    14,695.74x = 22,045.92 × 4,832.76
  4. Step 4: Simplify right side
    14,695.74x = 106,542,640.34
  5. Step 5: Solve for x
    x = 106,542,640.34/14,695.74
  6. Step 6: Final answer
    x = 7,249.90

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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.