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Finding the Fourth Proportional to 15,652.22, 23,470.61 and 7,745.58

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Solution

The fourth proportional to 15,652.22, 23,470.61 and 7,745.58 is: 11,614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.22 : 23,470.61 = 7,745.58 : x
  2. Step 2: Convert to fraction form
    15,652.22/23,470.61 = 7,745.58/x
  3. Step 3: Cross multiply
    15,652.22x = 23,470.61 × 7,745.58
  4. Step 4: Simplify right side
    15,652.22x = 181,793,448.68
  5. Step 5: Solve for x
    x = 181,793,448.68/15,652.22
  6. Step 6: Final answer
    x = 11,614.55

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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.