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Finding the Fourth Proportional to 17,518.80, 26,278.40 and 5,832

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Solution

The fourth proportional to 17,518.80, 26,278.40 and 5,832 is: 8,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,518.80 : 26,278.40 = 5,832 : x
  2. Step 2: Convert to fraction form
    17,518.80/26,278.40 = 5,832/x
  3. Step 3: Cross multiply
    17,518.80x = 26,278.40 × 5,832
  4. Step 4: Simplify right side
    17,518.80x = 153,255,628.80
  5. Step 5: Solve for x
    x = 153,255,628.80/17,518.80
  6. Step 6: Final answer
    x = 8,748.07

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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.