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Finding the Fourth Proportional to 13,226.76, 18,253.44 and 7,258.59

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Solution

The fourth proportional to 13,226.76, 18,253.44 and 7,258.59 is: 10,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.76 : 18,253.44 = 7,258.59 : x
  2. Step 2: Convert to fraction form
    13,226.76/18,253.44 = 7,258.59/x
  3. Step 3: Cross multiply
    13,226.76x = 18,253.44 × 7,258.59
  4. Step 4: Simplify right side
    13,226.76x = 132,494,237.05
  5. Step 5: Solve for x
    x = 132,494,237.05/13,226.76
  6. Step 6: Final answer
    x = 10,017.13

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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.