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Finding the Fourth Proportional to 12,658.20, 18,987.30 and 6,097.20

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Solution

The fourth proportional to 12,658.20, 18,987.30 and 6,097.20 is: 9,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.20 : 18,987.30 = 6,097.20 : x
  2. Step 2: Convert to fraction form
    12,658.20/18,987.30 = 6,097.20/x
  3. Step 3: Cross multiply
    12,658.20x = 18,987.30 × 6,097.20
  4. Step 4: Simplify right side
    12,658.20x = 115,769,365.56
  5. Step 5: Solve for x
    x = 115,769,365.56/12,658.20
  6. Step 6: Final answer
    x = 9,145.80

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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.