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Finding the Fourth Proportional to 19,859.13, 29,770.17 and 6,702.30

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Solution

The fourth proportional to 19,859.13, 29,770.17 and 6,702.30 is: 10,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.13 : 29,770.17 = 6,702.30 : x
  2. Step 2: Convert to fraction form
    19,859.13/29,770.17 = 6,702.30/x
  3. Step 3: Cross multiply
    19,859.13x = 29,770.17 × 6,702.30
  4. Step 4: Simplify right side
    19,859.13x = 199,528,610.39
  5. Step 5: Solve for x
    x = 199,528,610.39/19,859.13
  6. Step 6: Final answer
    x = 10,047.20

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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.