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Finding the Fourth Proportional to 16,854.78, 23,258.61 and 9,301.09

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Solution

The fourth proportional to 16,854.78, 23,258.61 and 9,301.09 is: 12,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.78 : 23,258.61 = 9,301.09 : x
  2. Step 2: Convert to fraction form
    16,854.78/23,258.61 = 9,301.09/x
  3. Step 3: Cross multiply
    16,854.78x = 23,258.61 × 9,301.09
  4. Step 4: Simplify right side
    16,854.78x = 216,330,262.09
  5. Step 5: Solve for x
    x = 216,330,262.09/16,854.78
  6. Step 6: Final answer
    x = 12,834.95

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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.