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Finding the Fourth Proportional to 19,686.30, 29,497.05 and 16,770.30

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Solution

The fourth proportional to 19,686.30, 29,497.05 and 16,770.30 is: 25,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.30 : 29,497.05 = 16,770.30 : x
  2. Step 2: Convert to fraction form
    19,686.30/29,497.05 = 16,770.30/x
  3. Step 3: Cross multiply
    19,686.30x = 29,497.05 × 16,770.30
  4. Step 4: Simplify right side
    19,686.30x = 494,674,377.62
  5. Step 5: Solve for x
    x = 494,674,377.62/19,686.30
  6. Step 6: Final answer
    x = 25,127.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.