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Finding the Fourth Proportional to 13,142.88, 19,720.80 and 9,272.16

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Solution

The fourth proportional to 13,142.88, 19,720.80 and 9,272.16 is: 13,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.88 : 19,720.80 = 9,272.16 : x
  2. Step 2: Convert to fraction form
    13,142.88/19,720.80 = 9,272.16/x
  3. Step 3: Cross multiply
    13,142.88x = 19,720.80 × 9,272.16
  4. Step 4: Simplify right side
    13,142.88x = 182,854,412.93
  5. Step 5: Solve for x
    x = 182,854,412.93/13,142.88
  6. Step 6: Final answer
    x = 13,912.81

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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.