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Finding the Fourth Proportional to 26,412.67, 39,627.48 and 7,693.84

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Solution

The fourth proportional to 26,412.67, 39,627.48 and 7,693.84 is: 11,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,412.67 : 39,627.48 = 7,693.84 : x
  2. Step 2: Convert to fraction form
    26,412.67/39,627.48 = 7,693.84/x
  3. Step 3: Cross multiply
    26,412.67x = 39,627.48 × 7,693.84
  4. Step 4: Simplify right side
    26,412.67x = 304,887,490.72
  5. Step 5: Solve for x
    x = 304,887,490.72/26,412.67
  6. Step 6: Final answer
    x = 11,543.23

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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.