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Finding the Fourth Proportional to 12,571.61, 17,346.89 and 7,265.40

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Solution

The fourth proportional to 12,571.61, 17,346.89 and 7,265.40 is: 10,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.61 : 17,346.89 = 7,265.40 : x
  2. Step 2: Convert to fraction form
    12,571.61/17,346.89 = 7,265.40/x
  3. Step 3: Cross multiply
    12,571.61x = 17,346.89 × 7,265.40
  4. Step 4: Simplify right side
    12,571.61x = 126,032,058.28
  5. Step 5: Solve for x
    x = 126,032,058.28/12,571.61
  6. Step 6: Final answer
    x = 10,025.13

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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.