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Finding the Fourth Proportional to 23,162.59, 31,964.25 and 12,552.13

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Solution

The fourth proportional to 23,162.59, 31,964.25 and 12,552.13 is: 17,321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162.59 : 31,964.25 = 12,552.13 : x
  2. Step 2: Convert to fraction form
    23,162.59/31,964.25 = 12,552.13/x
  3. Step 3: Cross multiply
    23,162.59x = 31,964.25 × 12,552.13
  4. Step 4: Simplify right side
    23,162.59x = 401,219,421.35
  5. Step 5: Solve for x
    x = 401,219,421.35/23,162.59
  6. Step 6: Final answer
    x = 17,321.87

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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.