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Finding the Fourth Proportional to 19,686.27, 29,508.52 and 9,676.90

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Solution

The fourth proportional to 19,686.27, 29,508.52 and 9,676.90 is: 14,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.27 : 29,508.52 = 9,676.90 : x
  2. Step 2: Convert to fraction form
    19,686.27/29,508.52 = 9,676.90/x
  3. Step 3: Cross multiply
    19,686.27x = 29,508.52 × 9,676.90
  4. Step 4: Simplify right side
    19,686.27x = 285,550,948.80
  5. Step 5: Solve for x
    x = 285,550,948.80/19,686.27
  6. Step 6: Final answer
    x = 14,505.08

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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.