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Finding the Fourth Proportional to 29,207.21, 43,815.05 and 9,209.92

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Solution

The fourth proportional to 29,207.21, 43,815.05 and 9,209.92 is: 13,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,207.21 : 43,815.05 = 9,209.92 : x
  2. Step 2: Convert to fraction form
    29,207.21/43,815.05 = 9,209.92/x
  3. Step 3: Cross multiply
    29,207.21x = 43,815.05 × 9,209.92
  4. Step 4: Simplify right side
    29,207.21x = 403,532,949.71
  5. Step 5: Solve for x
    x = 403,532,949.71/29,207.21
  6. Step 6: Final answer
    x = 13,816.21

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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.