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Finding the Fourth Proportional to 11,188.80, 15,425.76 and 9,301.92

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Solution

The fourth proportional to 11,188.80, 15,425.76 and 9,301.92 is: 12,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.80 : 15,425.76 = 9,301.92 : x
  2. Step 2: Convert to fraction form
    11,188.80/15,425.76 = 9,301.92/x
  3. Step 3: Cross multiply
    11,188.80x = 15,425.76 × 9,301.92
  4. Step 4: Simplify right side
    11,188.80x = 143,489,185.46
  5. Step 5: Solve for x
    x = 143,489,185.46/11,188.80
  6. Step 6: Final answer
    x = 12,824.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.