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Finding the Fourth Proportional to 13,226.78, 18,253.13 and 7,258.34

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Solution

The fourth proportional to 13,226.78, 18,253.13 and 7,258.34 is: 10,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.78 : 18,253.13 = 7,258.34 : x
  2. Step 2: Convert to fraction form
    13,226.78/18,253.13 = 7,258.34/x
  3. Step 3: Cross multiply
    13,226.78x = 18,253.13 × 7,258.34
  4. Step 4: Simplify right side
    13,226.78x = 132,487,423.60
  5. Step 5: Solve for x
    x = 132,487,423.60/13,226.78
  6. Step 6: Final answer
    x = 10,016.60

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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.