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Finding the Fourth Proportional to 19,387.80, 29,068.50 and 10,023.96

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Solution

The fourth proportional to 19,387.80, 29,068.50 and 10,023.96 is: 15,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,387.80 : 29,068.50 = 10,023.96 : x
  2. Step 2: Convert to fraction form
    19,387.80/29,068.50 = 10,023.96/x
  3. Step 3: Cross multiply
    19,387.80x = 29,068.50 × 10,023.96
  4. Step 4: Simplify right side
    19,387.80x = 291,381,481.26
  5. Step 5: Solve for x
    x = 291,381,481.26/19,387.80
  6. Step 6: Final answer
    x = 15,029.12

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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.