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Finding the Fourth Proportional to 16,810, 23,197.89 and 9,358

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Solution

The fourth proportional to 16,810, 23,197.89 and 9,358 is: 12,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810 : 23,197.89 = 9,358 : x
  2. Step 2: Convert to fraction form
    16,810/23,197.89 = 9,358/x
  3. Step 3: Cross multiply
    16,810x = 23,197.89 × 9,358
  4. Step 4: Simplify right side
    16,810x = 217,085,854.62
  5. Step 5: Solve for x
    x = 217,085,854.62/16,810
  6. Step 6: Final answer
    x = 12,914.09

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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.