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Finding the Fourth Proportional to 21,143.16, 31,715.27 and 7,103.69

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Solution

The fourth proportional to 21,143.16, 31,715.27 and 7,103.69 is: 10,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.16 : 31,715.27 = 7,103.69 : x
  2. Step 2: Convert to fraction form
    21,143.16/31,715.27 = 7,103.69/x
  3. Step 3: Cross multiply
    21,143.16x = 31,715.27 × 7,103.69
  4. Step 4: Simplify right side
    21,143.16x = 225,295,305.53
  5. Step 5: Solve for x
    x = 225,295,305.53/21,143.16
  6. Step 6: Final answer
    x = 10,655.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.