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Finding the Fourth Proportional to 16,080, 24,106.05 and 6,226.44

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Solution

The fourth proportional to 16,080, 24,106.05 and 6,226.44 is: 9,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,080 : 24,106.05 = 6,226.44 : x
  2. Step 2: Convert to fraction form
    16,080/24,106.05 = 6,226.44/x
  3. Step 3: Cross multiply
    16,080x = 24,106.05 × 6,226.44
  4. Step 4: Simplify right side
    16,080x = 150,094,873.96
  5. Step 5: Solve for x
    x = 150,094,873.96/16,080
  6. Step 6: Final answer
    x = 9,334.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.