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Finding the Fourth Proportional to 17,719.82, 26,585.86 and 7,866

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Solution

The fourth proportional to 17,719.82, 26,585.86 and 7,866 is: 11,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.82 : 26,585.86 = 7,866 : x
  2. Step 2: Convert to fraction form
    17,719.82/26,585.86 = 7,866/x
  3. Step 3: Cross multiply
    17,719.82x = 26,585.86 × 7,866
  4. Step 4: Simplify right side
    17,719.82x = 209,124,374.76
  5. Step 5: Solve for x
    x = 209,124,374.76/17,719.82
  6. Step 6: Final answer
    x = 11,801.72

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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.