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Finding the Fourth Proportional to 26,367.67, 36,387.33 and 14,431

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Solution

The fourth proportional to 26,367.67, 36,387.33 and 14,431 is: 19,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,367.67 : 36,387.33 = 14,431 : x
  2. Step 2: Convert to fraction form
    26,367.67/36,387.33 = 14,431/x
  3. Step 3: Cross multiply
    26,367.67x = 36,387.33 × 14,431
  4. Step 4: Simplify right side
    26,367.67x = 525,105,559.23
  5. Step 5: Solve for x
    x = 525,105,559.23/26,367.67
  6. Step 6: Final answer
    x = 19,914.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.