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Finding the Fourth Proportional to 21,885.20, 32,827.80 and 6,304.40

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Solution

The fourth proportional to 21,885.20, 32,827.80 and 6,304.40 is: 9,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885.20 : 32,827.80 = 6,304.40 : x
  2. Step 2: Convert to fraction form
    21,885.20/32,827.80 = 6,304.40/x
  3. Step 3: Cross multiply
    21,885.20x = 32,827.80 × 6,304.40
  4. Step 4: Simplify right side
    21,885.20x = 206,959,582.32
  5. Step 5: Solve for x
    x = 206,959,582.32/21,885.20
  6. Step 6: Final answer
    x = 9,456.60

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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.