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Finding the Fourth Proportional to 13,087.68, 19,637.92 and 8,156.16

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Solution

The fourth proportional to 13,087.68, 19,637.92 and 8,156.16 is: 12,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087.68 : 19,637.92 = 8,156.16 : x
  2. Step 2: Convert to fraction form
    13,087.68/19,637.92 = 8,156.16/x
  3. Step 3: Cross multiply
    13,087.68x = 19,637.92 × 8,156.16
  4. Step 4: Simplify right side
    13,087.68x = 160,170,017.59
  5. Step 5: Solve for x
    x = 160,170,017.59/13,087.68
  6. Step 6: Final answer
    x = 12,238.23

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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.