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Finding the Fourth Proportional to 13,048.80, 19,565.88 and 5,248.48

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Solution

The fourth proportional to 13,048.80, 19,565.88 and 5,248.48 is: 7,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.80 : 19,565.88 = 5,248.48 : x
  2. Step 2: Convert to fraction form
    13,048.80/19,565.88 = 5,248.48/x
  3. Step 3: Cross multiply
    13,048.80x = 19,565.88 × 5,248.48
  4. Step 4: Simplify right side
    13,048.80x = 102,691,129.86
  5. Step 5: Solve for x
    x = 102,691,129.86/13,048.80
  6. Step 6: Final answer
    x = 7,869.78

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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.