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Finding the Fourth Proportional to 20,767.80, 31,151.70 and 12,894.60

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Solution

The fourth proportional to 20,767.80, 31,151.70 and 12,894.60 is: 19,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.80 : 31,151.70 = 12,894.60 : x
  2. Step 2: Convert to fraction form
    20,767.80/31,151.70 = 12,894.60/x
  3. Step 3: Cross multiply
    20,767.80x = 31,151.70 × 12,894.60
  4. Step 4: Simplify right side
    20,767.80x = 401,688,710.82
  5. Step 5: Solve for x
    x = 401,688,710.82/20,767.80
  6. Step 6: Final answer
    x = 19,341.90

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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.