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Finding the Fourth Proportional to 23,162.16, 31,963.50 and 12,551.64

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Solution

The fourth proportional to 23,162.16, 31,963.50 and 12,551.64 is: 17,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162.16 : 31,963.50 = 12,551.64 : x
  2. Step 2: Convert to fraction form
    23,162.16/31,963.50 = 12,551.64/x
  3. Step 3: Cross multiply
    23,162.16x = 31,963.50 × 12,551.64
  4. Step 4: Simplify right side
    23,162.16x = 401,194,345.14
  5. Step 5: Solve for x
    x = 401,194,345.14/23,162.16
  6. Step 6: Final answer
    x = 17,321.11

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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.