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Finding the Fourth Proportional to 20,024.81, 30,037.03 and 14,077.16

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Solution

The fourth proportional to 20,024.81, 30,037.03 and 14,077.16 is: 21,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024.81 : 30,037.03 = 14,077.16 : x
  2. Step 2: Convert to fraction form
    20,024.81/30,037.03 = 14,077.16/x
  3. Step 3: Cross multiply
    20,024.81x = 30,037.03 × 14,077.16
  4. Step 4: Simplify right side
    20,024.81x = 422,835,891.86
  5. Step 5: Solve for x
    x = 422,835,891.86/20,024.81
  6. Step 6: Final answer
    x = 21,115.61

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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.