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Finding the Fourth Proportional to 21,977.60, 32,966.56 and 8,126.40

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Solution

The fourth proportional to 21,977.60, 32,966.56 and 8,126.40 is: 12,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.60 : 32,966.56 = 8,126.40 : x
  2. Step 2: Convert to fraction form
    21,977.60/32,966.56 = 8,126.40/x
  3. Step 3: Cross multiply
    21,977.60x = 32,966.56 × 8,126.40
  4. Step 4: Simplify right side
    21,977.60x = 267,899,453.18
  5. Step 5: Solve for x
    x = 267,899,453.18/21,977.60
  6. Step 6: Final answer
    x = 12,189.66

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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.