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Finding the Fourth Proportional to 19,761.98, 29,598.46 and 13,865.15

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Solution

The fourth proportional to 19,761.98, 29,598.46 and 13,865.15 is: 20,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.98 : 29,598.46 = 13,865.15 : x
  2. Step 2: Convert to fraction form
    19,761.98/29,598.46 = 13,865.15/x
  3. Step 3: Cross multiply
    19,761.98x = 29,598.46 × 13,865.15
  4. Step 4: Simplify right side
    19,761.98x = 410,387,127.00
  5. Step 5: Solve for x
    x = 410,387,127.00/19,761.98
  6. Step 6: Final answer
    x = 20,766.50

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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.