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Finding the Fourth Proportional to 13,225.80, 18,252.78 and 7,258.62

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Solution

The fourth proportional to 13,225.80, 18,252.78 and 7,258.62 is: 10,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.80 : 18,252.78 = 7,258.62 : x
  2. Step 2: Convert to fraction form
    13,225.80/18,252.78 = 7,258.62/x
  3. Step 3: Cross multiply
    13,225.80x = 18,252.78 × 7,258.62
  4. Step 4: Simplify right side
    13,225.80x = 132,489,993.96
  5. Step 5: Solve for x
    x = 132,489,993.96/13,225.80
  6. Step 6: Final answer
    x = 10,017.54

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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.