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Finding the Fourth Proportional to 20,876.31, 31,328.04 and 9,041.64

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Solution

The fourth proportional to 20,876.31, 31,328.04 and 9,041.64 is: 13,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.31 : 31,328.04 = 9,041.64 : x
  2. Step 2: Convert to fraction form
    20,876.31/31,328.04 = 9,041.64/x
  3. Step 3: Cross multiply
    20,876.31x = 31,328.04 × 9,041.64
  4. Step 4: Simplify right side
    20,876.31x = 283,256,859.59
  5. Step 5: Solve for x
    x = 283,256,859.59/20,876.31
  6. Step 6: Final answer
    x = 13,568.34

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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.