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Finding the Fourth Proportional to 17,616.68, 26,417.34 and 6,665

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Solution

The fourth proportional to 17,616.68, 26,417.34 and 6,665 is: 9,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.68 : 26,417.34 = 6,665 : x
  2. Step 2: Convert to fraction form
    17,616.68/26,417.34 = 6,665/x
  3. Step 3: Cross multiply
    17,616.68x = 26,417.34 × 6,665
  4. Step 4: Simplify right side
    17,616.68x = 176,071,571.10
  5. Step 5: Solve for x
    x = 176,071,571.10/17,616.68
  6. Step 6: Final answer
    x = 9,994.59

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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.