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Finding the Fourth Proportional to 20,005.77, 30,011.90 and 6,154.77

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Solution

The fourth proportional to 20,005.77, 30,011.90 and 6,154.77 is: 9,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.77 : 30,011.90 = 6,154.77 : x
  2. Step 2: Convert to fraction form
    20,005.77/30,011.90 = 6,154.77/x
  3. Step 3: Cross multiply
    20,005.77x = 30,011.90 × 6,154.77
  4. Step 4: Simplify right side
    20,005.77x = 184,716,310.99
  5. Step 5: Solve for x
    x = 184,716,310.99/20,005.77
  6. Step 6: Final answer
    x = 9,233.15

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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.