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Finding the Fourth Proportional to 12,437.50, 17,163.75 and 7,132.09

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Solution

The fourth proportional to 12,437.50, 17,163.75 and 7,132.09 is: 9,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.50 : 17,163.75 = 7,132.09 : x
  2. Step 2: Convert to fraction form
    12,437.50/17,163.75 = 7,132.09/x
  3. Step 3: Cross multiply
    12,437.50x = 17,163.75 × 7,132.09
  4. Step 4: Simplify right side
    12,437.50x = 122,413,409.74
  5. Step 5: Solve for x
    x = 122,413,409.74/12,437.50
  6. Step 6: Final answer
    x = 9,842.28

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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.