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Finding the Fourth Proportional to 23,143.29, 31,937.94 and 12,533.13

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Solution

The fourth proportional to 23,143.29, 31,937.94 and 12,533.13 is: 17,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.29 : 31,937.94 = 12,533.13 : x
  2. Step 2: Convert to fraction form
    23,143.29/31,937.94 = 12,533.13/x
  3. Step 3: Cross multiply
    23,143.29x = 31,937.94 × 12,533.13
  4. Step 4: Simplify right side
    23,143.29x = 400,282,353.95
  5. Step 5: Solve for x
    x = 400,282,353.95/23,143.29
  6. Step 6: Final answer
    x = 17,295.83

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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.