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Finding the Fourth Proportional to 12,437.68, 17,163.61 and 7,400.75

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Solution

The fourth proportional to 12,437.68, 17,163.61 and 7,400.75 is: 10,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.68 : 17,163.61 = 7,400.75 : x
  2. Step 2: Convert to fraction form
    12,437.68/17,163.61 = 7,400.75/x
  3. Step 3: Cross multiply
    12,437.68x = 17,163.61 × 7,400.75
  4. Step 4: Simplify right side
    12,437.68x = 127,023,586.71
  5. Step 5: Solve for x
    x = 127,023,586.71/12,437.68
  6. Step 6: Final answer
    x = 10,212.80

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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.