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Finding the Fourth Proportional to 15,677.13, 23,523.38 and 7,357.82

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Solution

The fourth proportional to 15,677.13, 23,523.38 and 7,357.82 is: 11,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.13 : 23,523.38 = 7,357.82 : x
  2. Step 2: Convert to fraction form
    15,677.13/23,523.38 = 7,357.82/x
  3. Step 3: Cross multiply
    15,677.13x = 23,523.38 × 7,357.82
  4. Step 4: Simplify right side
    15,677.13x = 173,080,641.43
  5. Step 5: Solve for x
    x = 173,080,641.43/15,677.13
  6. Step 6: Final answer
    x = 11,040.33

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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.