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Finding the Fourth Proportional to 20,781.70, 31,172.55 and 8,303.65

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Solution

The fourth proportional to 20,781.70, 31,172.55 and 8,303.65 is: 12,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.70 : 31,172.55 = 8,303.65 : x
  2. Step 2: Convert to fraction form
    20,781.70/31,172.55 = 8,303.65/x
  3. Step 3: Cross multiply
    20,781.70x = 31,172.55 × 8,303.65
  4. Step 4: Simplify right side
    20,781.70x = 258,845,944.81
  5. Step 5: Solve for x
    x = 258,845,944.81/20,781.70
  6. Step 6: Final answer
    x = 12,455.48

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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.