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Finding the Fourth Proportional to 20,051.04, 30,057.65 and 6,894.21

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Solution

The fourth proportional to 20,051.04, 30,057.65 and 6,894.21 is: 10,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.04 : 30,057.65 = 6,894.21 : x
  2. Step 2: Convert to fraction form
    20,051.04/30,057.65 = 6,894.21/x
  3. Step 3: Cross multiply
    20,051.04x = 30,057.65 × 6,894.21
  4. Step 4: Simplify right side
    20,051.04x = 207,223,716.74
  5. Step 5: Solve for x
    x = 207,223,716.74/20,051.04
  6. Step 6: Final answer
    x = 10,334.81

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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.