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Finding the Fourth Proportional to 12,019.92, 18,041.08 and 6,101

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Solution

The fourth proportional to 12,019.92, 18,041.08 and 6,101 is: 9,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.92 : 18,041.08 = 6,101 : x
  2. Step 2: Convert to fraction form
    12,019.92/18,041.08 = 6,101/x
  3. Step 3: Cross multiply
    12,019.92x = 18,041.08 × 6,101
  4. Step 4: Simplify right side
    12,019.92x = 110,068,629.08
  5. Step 5: Solve for x
    x = 110,068,629.08/12,019.92
  6. Step 6: Final answer
    x = 9,157.18

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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.