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Finding the Fourth Proportional to 16,813.40, 23,201.59 and 9,258.25

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Solution

The fourth proportional to 16,813.40, 23,201.59 and 9,258.25 is: 12,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.40 : 23,201.59 = 9,258.25 : x
  2. Step 2: Convert to fraction form
    16,813.40/23,201.59 = 9,258.25/x
  3. Step 3: Cross multiply
    16,813.40x = 23,201.59 × 9,258.25
  4. Step 4: Simplify right side
    16,813.40x = 214,806,139.55
  5. Step 5: Solve for x
    x = 214,806,139.55/16,813.40
  6. Step 6: Final answer
    x = 12,775.89

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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.