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Finding the Fourth Proportional to 15,580.82, 23,351.78 and 7,791.86

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Solution

The fourth proportional to 15,580.82, 23,351.78 and 7,791.86 is: 11,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.82 : 23,351.78 = 7,791.86 : x
  2. Step 2: Convert to fraction form
    15,580.82/23,351.78 = 7,791.86/x
  3. Step 3: Cross multiply
    15,580.82x = 23,351.78 × 7,791.86
  4. Step 4: Simplify right side
    15,580.82x = 181,953,800.51
  5. Step 5: Solve for x
    x = 181,953,800.51/15,580.82
  6. Step 6: Final answer
    x = 11,678.06

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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.