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Finding the Fourth Proportional to 19,487.80, 29,231.68 and 7,007.86

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Solution

The fourth proportional to 19,487.80, 29,231.68 and 7,007.86 is: 10,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,487.80 : 29,231.68 = 7,007.86 : x
  2. Step 2: Convert to fraction form
    19,487.80/29,231.68 = 7,007.86/x
  3. Step 3: Cross multiply
    19,487.80x = 29,231.68 × 7,007.86
  4. Step 4: Simplify right side
    19,487.80x = 204,851,521.00
  5. Step 5: Solve for x
    x = 204,851,521.00/19,487.80
  6. Step 6: Final answer
    x = 10,511.78

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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.