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Finding the Fourth Proportional to 17,715, 24,444.56 and 10,160.94

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Solution

The fourth proportional to 17,715, 24,444.56 and 10,160.94 is: 14,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715 : 24,444.56 = 10,160.94 : x
  2. Step 2: Convert to fraction form
    17,715/24,444.56 = 10,160.94/x
  3. Step 3: Cross multiply
    17,715x = 24,444.56 × 10,160.94
  4. Step 4: Simplify right side
    17,715x = 248,379,707.49
  5. Step 5: Solve for x
    x = 248,379,707.49/17,715
  6. Step 6: Final answer
    x = 14,020.87

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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.