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Finding the Fourth Proportional to 15,429, 23,174.56 and 9,201.18

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Solution

The fourth proportional to 15,429, 23,174.56 and 9,201.18 is: 13,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429 : 23,174.56 = 9,201.18 : x
  2. Step 2: Convert to fraction form
    15,429/23,174.56 = 9,201.18/x
  3. Step 3: Cross multiply
    15,429x = 23,174.56 × 9,201.18
  4. Step 4: Simplify right side
    15,429x = 213,233,297.98
  5. Step 5: Solve for x
    x = 213,233,297.98/15,429
  6. Step 6: Final answer
    x = 13,820.29

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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.