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Finding the Fourth Proportional to 13,225.78, 18,251.75 and 7,257.34

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Solution

The fourth proportional to 13,225.78, 18,251.75 and 7,257.34 is: 10,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.78 : 18,251.75 = 7,257.34 : x
  2. Step 2: Convert to fraction form
    13,225.78/18,251.75 = 7,257.34/x
  3. Step 3: Cross multiply
    13,225.78x = 18,251.75 × 7,257.34
  4. Step 4: Simplify right side
    13,225.78x = 132,459,155.35
  5. Step 5: Solve for x
    x = 132,459,155.35/13,225.78
  6. Step 6: Final answer
    x = 10,015.22

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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.