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Finding the Fourth Proportional to 20,959.70, 31,432.88 and 6,917.11

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Solution

The fourth proportional to 20,959.70, 31,432.88 and 6,917.11 is: 10,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.70 : 31,432.88 = 6,917.11 : x
  2. Step 2: Convert to fraction form
    20,959.70/31,432.88 = 6,917.11/x
  3. Step 3: Cross multiply
    20,959.70x = 31,432.88 × 6,917.11
  4. Step 4: Simplify right side
    20,959.70x = 217,424,804.10
  5. Step 5: Solve for x
    x = 217,424,804.10/20,959.70
  6. Step 6: Final answer
    x = 10,373.47

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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.