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Finding the Fourth Proportional to 21,143.80, 31,672.64 and 10,016.76

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Solution

The fourth proportional to 21,143.80, 31,672.64 and 10,016.76 is: 15,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.80 : 31,672.64 = 10,016.76 : x
  2. Step 2: Convert to fraction form
    21,143.80/31,672.64 = 10,016.76/x
  3. Step 3: Cross multiply
    21,143.80x = 31,672.64 × 10,016.76
  4. Step 4: Simplify right side
    21,143.80x = 317,257,233.45
  5. Step 5: Solve for x
    x = 317,257,233.45/21,143.80
  6. Step 6: Final answer
    x = 15,004.74

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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.