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Finding the Fourth Proportional to 15,194.08, 22,805.70 and 7,408.36

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Solution

The fourth proportional to 15,194.08, 22,805.70 and 7,408.36 is: 11,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.08 : 22,805.70 = 7,408.36 : x
  2. Step 2: Convert to fraction form
    15,194.08/22,805.70 = 7,408.36/x
  3. Step 3: Cross multiply
    15,194.08x = 22,805.70 × 7,408.36
  4. Step 4: Simplify right side
    15,194.08x = 168,952,835.65
  5. Step 5: Solve for x
    x = 168,952,835.65/15,194.08
  6. Step 6: Final answer
    x = 11,119.65

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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.