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Finding the Fourth Proportional to 20,541.14, 30,745.98 and 10,666.88

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Solution

The fourth proportional to 20,541.14, 30,745.98 and 10,666.88 is: 15,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.14 : 30,745.98 = 10,666.88 : x
  2. Step 2: Convert to fraction form
    20,541.14/30,745.98 = 10,666.88/x
  3. Step 3: Cross multiply
    20,541.14x = 30,745.98 × 10,666.88
  4. Step 4: Simplify right side
    20,541.14x = 327,963,679.14
  5. Step 5: Solve for x
    x = 327,963,679.14/20,541.14
  6. Step 6: Final answer
    x = 15,966.19

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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.