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Finding the Fourth Proportional to 17,715.33, 24,447.33 and 9,757.80

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Solution

The fourth proportional to 17,715.33, 24,447.33 and 9,757.80 is: 13,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.33 : 24,447.33 = 9,757.80 : x
  2. Step 2: Convert to fraction form
    17,715.33/24,447.33 = 9,757.80/x
  3. Step 3: Cross multiply
    17,715.33x = 24,447.33 × 9,757.80
  4. Step 4: Simplify right side
    17,715.33x = 238,552,156.67
  5. Step 5: Solve for x
    x = 238,552,156.67/17,715.33
  6. Step 6: Final answer
    x = 13,465.86

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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.