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Finding the Fourth Proportional to 13,703.40, 20,545.92 and 6,297.84

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Solution

The fourth proportional to 13,703.40, 20,545.92 and 6,297.84 is: 9,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.40 : 20,545.92 = 6,297.84 : x
  2. Step 2: Convert to fraction form
    13,703.40/20,545.92 = 6,297.84/x
  3. Step 3: Cross multiply
    13,703.40x = 20,545.92 × 6,297.84
  4. Step 4: Simplify right side
    13,703.40x = 129,394,916.81
  5. Step 5: Solve for x
    x = 129,394,916.81/13,703.40
  6. Step 6: Final answer
    x = 9,442.54

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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.