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Finding the Fourth Proportional to 12,534.60, 17,298.59 and 7,229.78

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Solution

The fourth proportional to 12,534.60, 17,298.59 and 7,229.78 is: 9,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.60 : 17,298.59 = 7,229.78 : x
  2. Step 2: Convert to fraction form
    12,534.60/17,298.59 = 7,229.78/x
  3. Step 3: Cross multiply
    12,534.60x = 17,298.59 × 7,229.78
  4. Step 4: Simplify right side
    12,534.60x = 125,065,000.01
  5. Step 5: Solve for x
    x = 125,065,000.01/12,534.60
  6. Step 6: Final answer
    x = 9,977.58

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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.