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Finding the Fourth Proportional to 19,874.74, 29,806.18 and 6,545.28

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Solution

The fourth proportional to 19,874.74, 29,806.18 and 6,545.28 is: 9,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.74 : 29,806.18 = 6,545.28 : x
  2. Step 2: Convert to fraction form
    19,874.74/29,806.18 = 6,545.28/x
  3. Step 3: Cross multiply
    19,874.74x = 29,806.18 × 6,545.28
  4. Step 4: Simplify right side
    19,874.74x = 195,089,805.41
  5. Step 5: Solve for x
    x = 195,089,805.41/19,874.74
  6. Step 6: Final answer
    x = 9,815.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.