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Finding the Fourth Proportional to 21,314.40, 31,977.12 and 8,167.20

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Solution

The fourth proportional to 21,314.40, 31,977.12 and 8,167.20 is: 12,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.40 : 31,977.12 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    21,314.40/31,977.12 = 8,167.20/x
  3. Step 3: Cross multiply
    21,314.40x = 31,977.12 × 8,167.20
  4. Step 4: Simplify right side
    21,314.40x = 261,163,534.46
  5. Step 5: Solve for x
    x = 261,163,534.46/21,314.40
  6. Step 6: Final answer
    x = 12,252.92

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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.