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Finding the Fourth Proportional to 20,915.45, 31,371.65 and 6,875.31

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Solution

The fourth proportional to 20,915.45, 31,371.65 and 6,875.31 is: 10,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.45 : 31,371.65 = 6,875.31 : x
  2. Step 2: Convert to fraction form
    20,915.45/31,371.65 = 6,875.31/x
  3. Step 3: Cross multiply
    20,915.45x = 31,371.65 × 6,875.31
  4. Step 4: Simplify right side
    20,915.45x = 215,689,818.96
  5. Step 5: Solve for x
    x = 215,689,818.96/20,915.45
  6. Step 6: Final answer
    x = 10,312.46

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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.