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Finding the Fourth Proportional to 23,081.87, 31,853.00 and 12,471.50

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Solution

The fourth proportional to 23,081.87, 31,853.00 and 12,471.50 is: 17,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,081.87 : 31,853.00 = 12,471.50 : x
  2. Step 2: Convert to fraction form
    23,081.87/31,853.00 = 12,471.50/x
  3. Step 3: Cross multiply
    23,081.87x = 31,853.00 × 12,471.50
  4. Step 4: Simplify right side
    23,081.87x = 397,254,737.95
  5. Step 5: Solve for x
    x = 397,254,737.95/23,081.87
  6. Step 6: Final answer
    x = 17,210.68

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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.