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Finding the Fourth Proportional to 17,174.64, 25,706.28 and 9,266.16

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Solution

The fourth proportional to 17,174.64, 25,706.28 and 9,266.16 is: 13,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.64 : 25,706.28 = 9,266.16 : x
  2. Step 2: Convert to fraction form
    17,174.64/25,706.28 = 9,266.16/x
  3. Step 3: Cross multiply
    17,174.64x = 25,706.28 × 9,266.16
  4. Step 4: Simplify right side
    17,174.64x = 238,198,503.48
  5. Step 5: Solve for x
    x = 238,198,503.48/17,174.64
  6. Step 6: Final answer
    x = 13,869.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.