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Finding the Fourth Proportional to 23,046.40, 31,807.06 and 12,976.80

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Solution

The fourth proportional to 23,046.40, 31,807.06 and 12,976.80 is: 17,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.40 : 31,807.06 = 12,976.80 : x
  2. Step 2: Convert to fraction form
    23,046.40/31,807.06 = 12,976.80/x
  3. Step 3: Cross multiply
    23,046.40x = 31,807.06 × 12,976.80
  4. Step 4: Simplify right side
    23,046.40x = 412,753,856.21
  5. Step 5: Solve for x
    x = 412,753,856.21/23,046.40
  6. Step 6: Final answer
    x = 17,909.69

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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.