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Finding the Fourth Proportional to 21,142.80, 31,671.14 and 10,015.76

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Solution

The fourth proportional to 21,142.80, 31,671.14 and 10,015.76 is: 15,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.80 : 31,671.14 = 10,015.76 : x
  2. Step 2: Convert to fraction form
    21,142.80/31,671.14 = 10,015.76/x
  3. Step 3: Cross multiply
    21,142.80x = 31,671.14 × 10,015.76
  4. Step 4: Simplify right side
    21,142.80x = 317,210,537.17
  5. Step 5: Solve for x
    x = 317,210,537.17/21,142.80
  6. Step 6: Final answer
    x = 15,003.24

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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.