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Finding the Fourth Proportional to 12,570.96, 17,344.62 and 7,265.46

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Solution

The fourth proportional to 12,570.96, 17,344.62 and 7,265.46 is: 10,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.96 : 17,344.62 = 7,265.46 : x
  2. Step 2: Convert to fraction form
    12,570.96/17,344.62 = 7,265.46/x
  3. Step 3: Cross multiply
    12,570.96x = 17,344.62 × 7,265.46
  4. Step 4: Simplify right side
    12,570.96x = 126,016,642.83
  5. Step 5: Solve for x
    x = 126,016,642.83/12,570.96
  6. Step 6: Final answer
    x = 10,024.42

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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.