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Finding the Fourth Proportional to 22,520.80, 31,091.14 and 13,570.50

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Solution

The fourth proportional to 22,520.80, 31,091.14 and 13,570.50 is: 18,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.80 : 31,091.14 = 13,570.50 : x
  2. Step 2: Convert to fraction form
    22,520.80/31,091.14 = 13,570.50/x
  3. Step 3: Cross multiply
    22,520.80x = 31,091.14 × 13,570.50
  4. Step 4: Simplify right side
    22,520.80x = 421,922,315.37
  5. Step 5: Solve for x
    x = 421,922,315.37/22,520.80
  6. Step 6: Final answer
    x = 18,734.78

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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.