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Finding the Fourth Proportional to 15,091.44, 22,642.56 and 7,697.76

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Solution

The fourth proportional to 15,091.44, 22,642.56 and 7,697.76 is: 11,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,091.44 : 22,642.56 = 7,697.76 : x
  2. Step 2: Convert to fraction form
    15,091.44/22,642.56 = 7,697.76/x
  3. Step 3: Cross multiply
    15,091.44x = 22,642.56 × 7,697.76
  4. Step 4: Simplify right side
    15,091.44x = 174,296,992.67
  5. Step 5: Solve for x
    x = 174,296,992.67/15,091.44
  6. Step 6: Final answer
    x = 11,549.39

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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.