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Finding the Fourth Proportional to 16,717.52, 23,070.09 and 9,164.17

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Solution

The fourth proportional to 16,717.52, 23,070.09 and 9,164.17 is: 12,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.52 : 23,070.09 = 9,164.17 : x
  2. Step 2: Convert to fraction form
    16,717.52/23,070.09 = 9,164.17/x
  3. Step 3: Cross multiply
    16,717.52x = 23,070.09 × 9,164.17
  4. Step 4: Simplify right side
    16,717.52x = 211,418,226.68
  5. Step 5: Solve for x
    x = 211,418,226.68/16,717.52
  6. Step 6: Final answer
    x = 12,646.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.