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Finding the Fourth Proportional to 20,617.74, 30,901.28 and 9,509.01

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Solution

The fourth proportional to 20,617.74, 30,901.28 and 9,509.01 is: 14,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.74 : 30,901.28 = 9,509.01 : x
  2. Step 2: Convert to fraction form
    20,617.74/30,901.28 = 9,509.01/x
  3. Step 3: Cross multiply
    20,617.74x = 30,901.28 × 9,509.01
  4. Step 4: Simplify right side
    20,617.74x = 293,840,532.99
  5. Step 5: Solve for x
    x = 293,840,532.99/20,617.74
  6. Step 6: Final answer
    x = 14,251.83

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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.