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Finding the Fourth Proportional to 20,045.81, 30,068.39 and 6,898.29

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Solution

The fourth proportional to 20,045.81, 30,068.39 and 6,898.29 is: 10,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.81 : 30,068.39 = 6,898.29 : x
  2. Step 2: Convert to fraction form
    20,045.81/30,068.39 = 6,898.29/x
  3. Step 3: Cross multiply
    20,045.81x = 30,068.39 × 6,898.29
  4. Step 4: Simplify right side
    20,045.81x = 207,420,439.56
  5. Step 5: Solve for x
    x = 207,420,439.56/20,045.81
  6. Step 6: Final answer
    x = 10,347.32

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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.