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Finding the Fourth Proportional to 16,165.86, 24,256.44 and 6,808.02

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Solution

The fourth proportional to 16,165.86, 24,256.44 and 6,808.02 is: 10,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.86 : 24,256.44 = 6,808.02 : x
  2. Step 2: Convert to fraction form
    16,165.86/24,256.44 = 6,808.02/x
  3. Step 3: Cross multiply
    16,165.86x = 24,256.44 × 6,808.02
  4. Step 4: Simplify right side
    16,165.86x = 165,138,328.65
  5. Step 5: Solve for x
    x = 165,138,328.65/16,165.86
  6. Step 6: Final answer
    x = 10,215.25

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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.