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Finding the Fourth Proportional to 13,147.56, 19,686.84 and 10,502.88

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Solution

The fourth proportional to 13,147.56, 19,686.84 and 10,502.88 is: 15,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.56 : 19,686.84 = 10,502.88 : x
  2. Step 2: Convert to fraction form
    13,147.56/19,686.84 = 10,502.88/x
  3. Step 3: Cross multiply
    13,147.56x = 19,686.84 × 10,502.88
  4. Step 4: Simplify right side
    13,147.56x = 206,768,518.10
  5. Step 5: Solve for x
    x = 206,768,518.10/13,147.56
  6. Step 6: Final answer
    x = 15,726.76

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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.