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Finding the Fourth Proportional to 12,544.16, 17,314.80 and 7,242.48

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Solution

The fourth proportional to 12,544.16, 17,314.80 and 7,242.48 is: 9,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.16 : 17,314.80 = 7,242.48 : x
  2. Step 2: Convert to fraction form
    12,544.16/17,314.80 = 7,242.48/x
  3. Step 3: Cross multiply
    12,544.16x = 17,314.80 × 7,242.48
  4. Step 4: Simplify right side
    12,544.16x = 125,402,092.70
  5. Step 5: Solve for x
    x = 125,402,092.70/12,544.16
  6. Step 6: Final answer
    x = 9,996.85

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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.