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Finding the Fourth Proportional to 16,717.11, 23,069.88 and 9,164.16

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Solution

The fourth proportional to 16,717.11, 23,069.88 and 9,164.16 is: 12,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.11 : 23,069.88 = 9,164.16 : x
  2. Step 2: Convert to fraction form
    16,717.11/23,069.88 = 9,164.16/x
  3. Step 3: Cross multiply
    16,717.11x = 23,069.88 × 9,164.16
  4. Step 4: Simplify right side
    16,717.11x = 211,416,071.50
  5. Step 5: Solve for x
    x = 211,416,071.50/16,717.11
  6. Step 6: Final answer
    x = 12,646.69

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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.