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Finding the Fourth Proportional to 12,756.80, 17,599.56 and 9,407.60

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Solution

The fourth proportional to 12,756.80, 17,599.56 and 9,407.60 is: 12,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.80 : 17,599.56 = 9,407.60 : x
  2. Step 2: Convert to fraction form
    12,756.80/17,599.56 = 9,407.60/x
  3. Step 3: Cross multiply
    12,756.80x = 17,599.56 × 9,407.60
  4. Step 4: Simplify right side
    12,756.80x = 165,569,620.66
  5. Step 5: Solve for x
    x = 165,569,620.66/12,756.80
  6. Step 6: Final answer
    x = 12,978.93

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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.