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Finding the Fourth Proportional to 20,916.66, 31,378.86 and 6,877.46

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Solution

The fourth proportional to 20,916.66, 31,378.86 and 6,877.46 is: 10,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.66 : 31,378.86 = 6,877.46 : x
  2. Step 2: Convert to fraction form
    20,916.66/31,378.86 = 6,877.46/x
  3. Step 3: Cross multiply
    20,916.66x = 31,378.86 × 6,877.46
  4. Step 4: Simplify right side
    20,916.66x = 215,806,854.50
  5. Step 5: Solve for x
    x = 215,806,854.50/20,916.66
  6. Step 6: Final answer
    x = 10,317.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.