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Finding the Fourth Proportional to 15,601.85, 23,402.78 and 7,809.65

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Solution

The fourth proportional to 15,601.85, 23,402.78 and 7,809.65 is: 11,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.85 : 23,402.78 = 7,809.65 : x
  2. Step 2: Convert to fraction form
    15,601.85/23,402.78 = 7,809.65/x
  3. Step 3: Cross multiply
    15,601.85x = 23,402.78 × 7,809.65
  4. Step 4: Simplify right side
    15,601.85x = 182,767,481.78
  5. Step 5: Solve for x
    x = 182,767,481.78/15,601.85
  6. Step 6: Final answer
    x = 11,714.48

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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.