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Finding the Fourth Proportional to 14,978.92, 22,438.31 and 7,459.82

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Solution

The fourth proportional to 14,978.92, 22,438.31 and 7,459.82 is: 11,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.92 : 22,438.31 = 7,459.82 : x
  2. Step 2: Convert to fraction form
    14,978.92/22,438.31 = 7,459.82/x
  3. Step 3: Cross multiply
    14,978.92x = 22,438.31 × 7,459.82
  4. Step 4: Simplify right side
    14,978.92x = 167,385,753.70
  5. Step 5: Solve for x
    x = 167,385,753.70/14,978.92
  6. Step 6: Final answer
    x = 11,174.75

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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.