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Finding the Fourth Proportional to 23,119.16, 31,918.19 and 15,175.31

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Solution

The fourth proportional to 23,119.16, 31,918.19 and 15,175.31 is: 20,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.16 : 31,918.19 = 15,175.31 : x
  2. Step 2: Convert to fraction form
    23,119.16/31,918.19 = 15,175.31/x
  3. Step 3: Cross multiply
    23,119.16x = 31,918.19 × 15,175.31
  4. Step 4: Simplify right side
    23,119.16x = 484,368,192.42
  5. Step 5: Solve for x
    x = 484,368,192.42/23,119.16
  6. Step 6: Final answer
    x = 20,950.95

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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.