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Finding the Fourth Proportional to 19,689.72, 29,513.85 and 6,538.56

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Solution

The fourth proportional to 19,689.72, 29,513.85 and 6,538.56 is: 9,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.72 : 29,513.85 = 6,538.56 : x
  2. Step 2: Convert to fraction form
    19,689.72/29,513.85 = 6,538.56/x
  3. Step 3: Cross multiply
    19,689.72x = 29,513.85 × 6,538.56
  4. Step 4: Simplify right side
    19,689.72x = 192,978,079.06
  5. Step 5: Solve for x
    x = 192,978,079.06/19,689.72
  6. Step 6: Final answer
    x = 9,800.96

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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.