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Finding the Fourth Proportional to 20,471.15, 30,696.34 and 9,368.33

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Solution

The fourth proportional to 20,471.15, 30,696.34 and 9,368.33 is: 14,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.15 : 30,696.34 = 9,368.33 : x
  2. Step 2: Convert to fraction form
    20,471.15/30,696.34 = 9,368.33/x
  3. Step 3: Cross multiply
    20,471.15x = 30,696.34 × 9,368.33
  4. Step 4: Simplify right side
    20,471.15x = 287,573,442.91
  5. Step 5: Solve for x
    x = 287,573,442.91/20,471.15
  6. Step 6: Final answer
    x = 14,047.74

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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.