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Finding the Fourth Proportional to 20,045.83, 30,066.72 and 6,899.14

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Solution

The fourth proportional to 20,045.83, 30,066.72 and 6,899.14 is: 10,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.83 : 30,066.72 = 6,899.14 : x
  2. Step 2: Convert to fraction form
    20,045.83/30,066.72 = 6,899.14/x
  3. Step 3: Cross multiply
    20,045.83x = 30,066.72 × 6,899.14
  4. Step 4: Simplify right side
    20,045.83x = 207,434,510.62
  5. Step 5: Solve for x
    x = 207,434,510.62/20,045.83
  6. Step 6: Final answer
    x = 10,348.01

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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.