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Finding the Fourth Proportional to 21,648.89, 32,473.58 and 7,609.32

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Solution

The fourth proportional to 21,648.89, 32,473.58 and 7,609.32 is: 11,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.89 : 32,473.58 = 7,609.32 : x
  2. Step 2: Convert to fraction form
    21,648.89/32,473.58 = 7,609.32/x
  3. Step 3: Cross multiply
    21,648.89x = 32,473.58 × 7,609.32
  4. Step 4: Simplify right side
    21,648.89x = 247,101,823.72
  5. Step 5: Solve for x
    x = 247,101,823.72/21,648.89
  6. Step 6: Final answer
    x = 11,414.06

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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.