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Finding the Fourth Proportional to 20,045.94, 30,065.22 and 6,007.80

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Solution

The fourth proportional to 20,045.94, 30,065.22 and 6,007.80 is: 9,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.94 : 30,065.22 = 6,007.80 : x
  2. Step 2: Convert to fraction form
    20,045.94/30,065.22 = 6,007.80/x
  3. Step 3: Cross multiply
    20,045.94x = 30,065.22 × 6,007.80
  4. Step 4: Simplify right side
    20,045.94x = 180,625,828.72
  5. Step 5: Solve for x
    x = 180,625,828.72/20,045.94
  6. Step 6: Final answer
    x = 9,010.59

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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.