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Finding the Fourth Proportional to 12,062.46, 18,175.86 and 9,919.20

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Solution

The fourth proportional to 12,062.46, 18,175.86 and 9,919.20 is: 14,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,062.46 : 18,175.86 = 9,919.20 : x
  2. Step 2: Convert to fraction form
    12,062.46/18,175.86 = 9,919.20/x
  3. Step 3: Cross multiply
    12,062.46x = 18,175.86 × 9,919.20
  4. Step 4: Simplify right side
    12,062.46x = 180,289,990.51
  5. Step 5: Solve for x
    x = 180,289,990.51/12,062.46
  6. Step 6: Final answer
    x = 14,946.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.