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Finding the Fourth Proportional to 12,534.10, 17,298.90 and 7,227.88

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Solution

The fourth proportional to 12,534.10, 17,298.90 and 7,227.88 is: 9,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.10 : 17,298.90 = 7,227.88 : x
  2. Step 2: Convert to fraction form
    12,534.10/17,298.90 = 7,227.88/x
  3. Step 3: Cross multiply
    12,534.10x = 17,298.90 × 7,227.88
  4. Step 4: Simplify right side
    12,534.10x = 125,034,373.33
  5. Step 5: Solve for x
    x = 125,034,373.33/12,534.10
  6. Step 6: Final answer
    x = 9,975.54

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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.