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Finding the Fourth Proportional to 14,760.40, 22,125.22 and 6,438.18

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Solution

The fourth proportional to 14,760.40, 22,125.22 and 6,438.18 is: 9,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,760.40 : 22,125.22 = 6,438.18 : x
  2. Step 2: Convert to fraction form
    14,760.40/22,125.22 = 6,438.18/x
  3. Step 3: Cross multiply
    14,760.40x = 22,125.22 × 6,438.18
  4. Step 4: Simplify right side
    14,760.40x = 142,446,148.90
  5. Step 5: Solve for x
    x = 142,446,148.90/14,760.40
  6. Step 6: Final answer
    x = 9,650.56

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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.