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Finding the Fourth Proportional to 12,715.81, 17,544.20 and 7,409.61

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Solution

The fourth proportional to 12,715.81, 17,544.20 and 7,409.61 is: 10,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.81 : 17,544.20 = 7,409.61 : x
  2. Step 2: Convert to fraction form
    12,715.81/17,544.20 = 7,409.61/x
  3. Step 3: Cross multiply
    12,715.81x = 17,544.20 × 7,409.61
  4. Step 4: Simplify right side
    12,715.81x = 129,995,642.71
  5. Step 5: Solve for x
    x = 129,995,642.71/12,715.81
  6. Step 6: Final answer
    x = 10,223.15

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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.