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Finding the Fourth Proportional to 12,507.40, 17,242.26 and 7,724.14

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Solution

The fourth proportional to 12,507.40, 17,242.26 and 7,724.14 is: 10,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.40 : 17,242.26 = 7,724.14 : x
  2. Step 2: Convert to fraction form
    12,507.40/17,242.26 = 7,724.14/x
  3. Step 3: Cross multiply
    12,507.40x = 17,242.26 × 7,724.14
  4. Step 4: Simplify right side
    12,507.40x = 133,181,630.16
  5. Step 5: Solve for x
    x = 133,181,630.16/12,507.40
  6. Step 6: Final answer
    x = 10,648.23

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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.