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Finding the Fourth Proportional to 12,571.40, 17,347.86 and 7,535.82

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Solution

The fourth proportional to 12,571.40, 17,347.86 and 7,535.82 is: 10,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.40 : 17,347.86 = 7,535.82 : x
  2. Step 2: Convert to fraction form
    12,571.40/17,347.86 = 7,535.82/x
  3. Step 3: Cross multiply
    12,571.40x = 17,347.86 × 7,535.82
  4. Step 4: Simplify right side
    12,571.40x = 130,730,350.35
  5. Step 5: Solve for x
    x = 130,730,350.35/12,571.40
  6. Step 6: Final answer
    x = 10,399.03

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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.