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Finding the Fourth Proportional to 16,422.86, 24,646.17 and 6,564.96

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Solution

The fourth proportional to 16,422.86, 24,646.17 and 6,564.96 is: 9,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.86 : 24,646.17 = 6,564.96 : x
  2. Step 2: Convert to fraction form
    16,422.86/24,646.17 = 6,564.96/x
  3. Step 3: Cross multiply
    16,422.86x = 24,646.17 × 6,564.96
  4. Step 4: Simplify right side
    16,422.86x = 161,801,120.20
  5. Step 5: Solve for x
    x = 161,801,120.20/16,422.86
  6. Step 6: Final answer
    x = 9,852.19

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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.