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Finding the Fourth Proportional to 14,773.72, 22,151.68 and 5,890.42

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Solution

The fourth proportional to 14,773.72, 22,151.68 and 5,890.42 is: 8,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.72 : 22,151.68 = 5,890.42 : x
  2. Step 2: Convert to fraction form
    14,773.72/22,151.68 = 5,890.42/x
  3. Step 3: Cross multiply
    14,773.72x = 22,151.68 × 5,890.42
  4. Step 4: Simplify right side
    14,773.72x = 130,482,698.91
  5. Step 5: Solve for x
    x = 130,482,698.91/14,773.72
  6. Step 6: Final answer
    x = 8,832.08

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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.