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Finding the Fourth Proportional to 14,489.59, 21,729.77 and 7,468.71

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Solution

The fourth proportional to 14,489.59, 21,729.77 and 7,468.71 is: 11,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.59 : 21,729.77 = 7,468.71 : x
  2. Step 2: Convert to fraction form
    14,489.59/21,729.77 = 7,468.71/x
  3. Step 3: Cross multiply
    14,489.59x = 21,729.77 × 7,468.71
  4. Step 4: Simplify right side
    14,489.59x = 162,293,350.50
  5. Step 5: Solve for x
    x = 162,293,350.50/14,489.59
  6. Step 6: Final answer
    x = 11,200.69

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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.