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Finding the Fourth Proportional to 12,290.40, 18,416.90 and 9,005.66

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Solution

The fourth proportional to 12,290.40, 18,416.90 and 9,005.66 is: 13,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.40 : 18,416.90 = 9,005.66 : x
  2. Step 2: Convert to fraction form
    12,290.40/18,416.90 = 9,005.66/x
  3. Step 3: Cross multiply
    12,290.40x = 18,416.90 × 9,005.66
  4. Step 4: Simplify right side
    12,290.40x = 165,856,339.65
  5. Step 5: Solve for x
    x = 165,856,339.65/12,290.40
  6. Step 6: Final answer
    x = 13,494.79

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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.