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Finding the Fourth Proportional to 12,007.20, 17,987.85 and 6,458.70

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Solution

The fourth proportional to 12,007.20, 17,987.85 and 6,458.70 is: 9,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.20 : 17,987.85 = 6,458.70 : x
  2. Step 2: Convert to fraction form
    12,007.20/17,987.85 = 6,458.70/x
  3. Step 3: Cross multiply
    12,007.20x = 17,987.85 × 6,458.70
  4. Step 4: Simplify right side
    12,007.20x = 116,178,126.80
  5. Step 5: Solve for x
    x = 116,178,126.80/12,007.20
  6. Step 6: Final answer
    x = 9,675.71

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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.