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Finding the Fourth Proportional to 16,717.46, 23,070 and 9,164.11

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Solution

The fourth proportional to 16,717.46, 23,070 and 9,164.11 is: 12,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.46 : 23,070 = 9,164.11 : x
  2. Step 2: Convert to fraction form
    16,717.46/23,070 = 9,164.11/x
  3. Step 3: Cross multiply
    16,717.46x = 23,070 × 9,164.11
  4. Step 4: Simplify right side
    16,717.46x = 211,416,017.70
  5. Step 5: Solve for x
    x = 211,416,017.70/16,717.46
  6. Step 6: Final answer
    x = 12,646.42

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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.