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Finding the Fourth Proportional to 15,767.22, 23,662.56 and 7,449.79

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Solution

The fourth proportional to 15,767.22, 23,662.56 and 7,449.79 is: 11,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.22 : 23,662.56 = 7,449.79 : x
  2. Step 2: Convert to fraction form
    15,767.22/23,662.56 = 7,449.79/x
  3. Step 3: Cross multiply
    15,767.22x = 23,662.56 × 7,449.79
  4. Step 4: Simplify right side
    15,767.22x = 176,281,102.86
  5. Step 5: Solve for x
    x = 176,281,102.86/15,767.22
  6. Step 6: Final answer
    x = 11,180.23

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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.