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Finding the Fourth Proportional to 21,662.16, 32,494.31 and 6,869.71

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Solution

The fourth proportional to 21,662.16, 32,494.31 and 6,869.71 is: 10,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.16 : 32,494.31 = 6,869.71 : x
  2. Step 2: Convert to fraction form
    21,662.16/32,494.31 = 6,869.71/x
  3. Step 3: Cross multiply
    21,662.16x = 32,494.31 × 6,869.71
  4. Step 4: Simplify right side
    21,662.16x = 223,226,557.02
  5. Step 5: Solve for x
    x = 223,226,557.02/21,662.16
  6. Step 6: Final answer
    x = 10,304.91

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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.