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Finding the Fourth Proportional to 21,641.90, 32,466.49 and 6,854.94

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Solution

The fourth proportional to 21,641.90, 32,466.49 and 6,854.94 is: 10,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.90 : 32,466.49 = 6,854.94 : x
  2. Step 2: Convert to fraction form
    21,641.90/32,466.49 = 6,854.94/x
  3. Step 3: Cross multiply
    21,641.90x = 32,466.49 × 6,854.94
  4. Step 4: Simplify right side
    21,641.90x = 222,555,823.82
  5. Step 5: Solve for x
    x = 222,555,823.82/21,641.90
  6. Step 6: Final answer
    x = 10,283.56

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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.