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Finding the Fourth Proportional to 13,225.53, 18,251.18 and 7,175.78

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Solution

The fourth proportional to 13,225.53, 18,251.18 and 7,175.78 is: 9,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.53 : 18,251.18 = 7,175.78 : x
  2. Step 2: Convert to fraction form
    13,225.53/18,251.18 = 7,175.78/x
  3. Step 3: Cross multiply
    13,225.53x = 18,251.18 × 7,175.78
  4. Step 4: Simplify right side
    13,225.53x = 130,966,325.29
  5. Step 5: Solve for x
    x = 130,966,325.29/13,225.53
  6. Step 6: Final answer
    x = 9,902.54

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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.