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Finding the Fourth Proportional to 12,588.95, 18,874.22 and 6,345.88

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Solution

The fourth proportional to 12,588.95, 18,874.22 and 6,345.88 is: 9,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.95 : 18,874.22 = 6,345.88 : x
  2. Step 2: Convert to fraction form
    12,588.95/18,874.22 = 6,345.88/x
  3. Step 3: Cross multiply
    12,588.95x = 18,874.22 × 6,345.88
  4. Step 4: Simplify right side
    12,588.95x = 119,773,456.30
  5. Step 5: Solve for x
    x = 119,773,456.30/12,588.95
  6. Step 6: Final answer
    x = 9,514.17

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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.