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Finding the Fourth Proportional to 20,970.15, 31,454.22 and 7,821.51

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Solution

The fourth proportional to 20,970.15, 31,454.22 and 7,821.51 is: 11,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.15 : 31,454.22 = 7,821.51 : x
  2. Step 2: Convert to fraction form
    20,970.15/31,454.22 = 7,821.51/x
  3. Step 3: Cross multiply
    20,970.15x = 31,454.22 × 7,821.51
  4. Step 4: Simplify right side
    20,970.15x = 246,019,496.27
  5. Step 5: Solve for x
    x = 246,019,496.27/20,970.15
  6. Step 6: Final answer
    x = 11,731.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.