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Finding the Fourth Proportional to 16,207.68, 24,301.44 and 6,842.88

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Solution

The fourth proportional to 16,207.68, 24,301.44 and 6,842.88 is: 10,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.68 : 24,301.44 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    16,207.68/24,301.44 = 6,842.88/x
  3. Step 3: Cross multiply
    16,207.68x = 24,301.44 × 6,842.88
  4. Step 4: Simplify right side
    16,207.68x = 166,291,837.75
  5. Step 5: Solve for x
    x = 166,291,837.75/16,207.68
  6. Step 6: Final answer
    x = 10,260.06

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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.