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Finding the Fourth Proportional to 14,751.29, 22,130.42 and 6,432.80

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Solution

The fourth proportional to 14,751.29, 22,130.42 and 6,432.80 is: 9,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.29 : 22,130.42 = 6,432.80 : x
  2. Step 2: Convert to fraction form
    14,751.29/22,130.42 = 6,432.80/x
  3. Step 3: Cross multiply
    14,751.29x = 22,130.42 × 6,432.80
  4. Step 4: Simplify right side
    14,751.29x = 142,360,422.96
  5. Step 5: Solve for x
    x = 142,360,422.96/14,751.29
  6. Step 6: Final answer
    x = 9,650.71

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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.