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Finding the Fourth Proportional to 13,042.96, 19,565.22 and 5,251.72

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Solution

The fourth proportional to 13,042.96, 19,565.22 and 5,251.72 is: 7,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.96 : 19,565.22 = 5,251.72 : x
  2. Step 2: Convert to fraction form
    13,042.96/19,565.22 = 5,251.72/x
  3. Step 3: Cross multiply
    13,042.96x = 19,565.22 × 5,251.72
  4. Step 4: Simplify right side
    13,042.96x = 102,751,057.18
  5. Step 5: Solve for x
    x = 102,751,057.18/13,042.96
  6. Step 6: Final answer
    x = 7,877.89

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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.