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Finding the Fourth Proportional to 20,689.32, 31,021.02 and 13,661.88

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Solution

The fourth proportional to 20,689.32, 31,021.02 and 13,661.88 is: 20,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.32 : 31,021.02 = 13,661.88 : x
  2. Step 2: Convert to fraction form
    20,689.32/31,021.02 = 13,661.88/x
  3. Step 3: Cross multiply
    20,689.32x = 31,021.02 × 13,661.88
  4. Step 4: Simplify right side
    20,689.32x = 423,805,452.72
  5. Step 5: Solve for x
    x = 423,805,452.72/20,689.32
  6. Step 6: Final answer
    x = 20,484.26

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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.