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Finding the Fourth Proportional to 17,677.89, 24,395.57 and 9,720.63

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Solution

The fourth proportional to 17,677.89, 24,395.57 and 9,720.63 is: 13,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.89 : 24,395.57 = 9,720.63 : x
  2. Step 2: Convert to fraction form
    17,677.89/24,395.57 = 9,720.63/x
  3. Step 3: Cross multiply
    17,677.89x = 24,395.57 × 9,720.63
  4. Step 4: Simplify right side
    17,677.89x = 237,140,211.93
  5. Step 5: Solve for x
    x = 237,140,211.93/17,677.89
  6. Step 6: Final answer
    x = 13,414.51

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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.