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Finding the Fourth Proportional to 17,644.68, 24,351.59 and 10,091.70

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Solution

The fourth proportional to 17,644.68, 24,351.59 and 10,091.70 is: 13,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.68 : 24,351.59 = 10,091.70 : x
  2. Step 2: Convert to fraction form
    17,644.68/24,351.59 = 10,091.70/x
  3. Step 3: Cross multiply
    17,644.68x = 24,351.59 × 10,091.70
  4. Step 4: Simplify right side
    17,644.68x = 245,748,966.03
  5. Step 5: Solve for x
    x = 245,748,966.03/17,644.68
  6. Step 6: Final answer
    x = 13,927.65

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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.