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Finding the Fourth Proportional to 12,007.80, 18,011.70 and 6,175.80

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Solution

The fourth proportional to 12,007.80, 18,011.70 and 6,175.80 is: 9,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.80 : 18,011.70 = 6,175.80 : x
  2. Step 2: Convert to fraction form
    12,007.80/18,011.70 = 6,175.80/x
  3. Step 3: Cross multiply
    12,007.80x = 18,011.70 × 6,175.80
  4. Step 4: Simplify right side
    12,007.80x = 111,236,656.86
  5. Step 5: Solve for x
    x = 111,236,656.86/12,007.80
  6. Step 6: Final answer
    x = 9,263.70

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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.