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Finding the Fourth Proportional to 17,741.71, 26,616.85 and 6,648.50

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Solution

The fourth proportional to 17,741.71, 26,616.85 and 6,648.50 is: 9,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.71 : 26,616.85 = 6,648.50 : x
  2. Step 2: Convert to fraction form
    17,741.71/26,616.85 = 6,648.50/x
  3. Step 3: Cross multiply
    17,741.71x = 26,616.85 × 6,648.50
  4. Step 4: Simplify right side
    17,741.71x = 176,961,977.52
  5. Step 5: Solve for x
    x = 176,961,977.52/17,741.71
  6. Step 6: Final answer
    x = 9,974.35

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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.