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Finding the Fourth Proportional to 16,930.81, 23,364.59 and 9,862.09

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Solution

The fourth proportional to 16,930.81, 23,364.59 and 9,862.09 is: 13,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930.81 : 23,364.59 = 9,862.09 : x
  2. Step 2: Convert to fraction form
    16,930.81/23,364.59 = 9,862.09/x
  3. Step 3: Cross multiply
    16,930.81x = 23,364.59 × 9,862.09
  4. Step 4: Simplify right side
    16,930.81x = 230,423,640.08
  5. Step 5: Solve for x
    x = 230,423,640.08/16,930.81
  6. Step 6: Final answer
    x = 13,609.72

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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.