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Finding the Fourth Proportional to 12,590.32, 18,878.62 and 8,147.35

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Solution

The fourth proportional to 12,590.32, 18,878.62 and 8,147.35 is: 12,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.32 : 18,878.62 = 8,147.35 : x
  2. Step 2: Convert to fraction form
    12,590.32/18,878.62 = 8,147.35/x
  3. Step 3: Cross multiply
    12,590.32x = 18,878.62 × 8,147.35
  4. Step 4: Simplify right side
    12,590.32x = 153,810,724.66
  5. Step 5: Solve for x
    x = 153,810,724.66/12,590.32
  6. Step 6: Final answer
    x = 12,216.59

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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.