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Finding the Fourth Proportional to 17,659.78, 26,486.52 and 10,278.70

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Solution

The fourth proportional to 17,659.78, 26,486.52 and 10,278.70 is: 15,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.78 : 26,486.52 = 10,278.70 : x
  2. Step 2: Convert to fraction form
    17,659.78/26,486.52 = 10,278.70/x
  3. Step 3: Cross multiply
    17,659.78x = 26,486.52 × 10,278.70
  4. Step 4: Simplify right side
    17,659.78x = 272,246,993.12
  5. Step 5: Solve for x
    x = 272,246,993.12/17,659.78
  6. Step 6: Final answer
    x = 15,416.22

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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.