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Finding the Fourth Proportional to 21,645.58, 32,468.53 and 6,854.22

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Solution

The fourth proportional to 21,645.58, 32,468.53 and 6,854.22 is: 10,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645.58 : 32,468.53 = 6,854.22 : x
  2. Step 2: Convert to fraction form
    21,645.58/32,468.53 = 6,854.22/x
  3. Step 3: Cross multiply
    21,645.58x = 32,468.53 × 6,854.22
  4. Step 4: Simplify right side
    21,645.58x = 222,546,447.70
  5. Step 5: Solve for x
    x = 222,546,447.70/21,645.58
  6. Step 6: Final answer
    x = 10,281.38

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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.