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Finding the Fourth Proportional to 20,107.86, 30,162.02 and 6,068.01

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Solution

The fourth proportional to 20,107.86, 30,162.02 and 6,068.01 is: 9,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.86 : 30,162.02 = 6,068.01 : x
  2. Step 2: Convert to fraction form
    20,107.86/30,162.02 = 6,068.01/x
  3. Step 3: Cross multiply
    20,107.86x = 30,162.02 × 6,068.01
  4. Step 4: Simplify right side
    20,107.86x = 183,023,488.12
  5. Step 5: Solve for x
    x = 183,023,488.12/20,107.86
  6. Step 6: Final answer
    x = 9,102.09

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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.