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Finding the Fourth Proportional to 17,689.14, 26,523.50 and 10,580.49

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Solution

The fourth proportional to 17,689.14, 26,523.50 and 10,580.49 is: 15,864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.14 : 26,523.50 = 10,580.49 : x
  2. Step 2: Convert to fraction form
    17,689.14/26,523.50 = 10,580.49/x
  3. Step 3: Cross multiply
    17,689.14x = 26,523.50 × 10,580.49
  4. Step 4: Simplify right side
    17,689.14x = 280,631,573.61
  5. Step 5: Solve for x
    x = 280,631,573.61/17,689.14
  6. Step 6: Final answer
    x = 15,864.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.