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Finding the Fourth Proportional to 12,765.60, 17,615.28 and 7,176.48

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Solution

The fourth proportional to 12,765.60, 17,615.28 and 7,176.48 is: 9,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.60 : 17,615.28 = 7,176.48 : x
  2. Step 2: Convert to fraction form
    12,765.60/17,615.28 = 7,176.48/x
  3. Step 3: Cross multiply
    12,765.60x = 17,615.28 × 7,176.48
  4. Step 4: Simplify right side
    12,765.60x = 126,415,704.61
  5. Step 5: Solve for x
    x = 126,415,704.61/12,765.60
  6. Step 6: Final answer
    x = 9,902.84

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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.