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Finding the Fourth Proportional to 13,543.10, 20,297.74 and 6,521.81

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Solution

The fourth proportional to 13,543.10, 20,297.74 and 6,521.81 is: 9,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.10 : 20,297.74 = 6,521.81 : x
  2. Step 2: Convert to fraction form
    13,543.10/20,297.74 = 6,521.81/x
  3. Step 3: Cross multiply
    13,543.10x = 20,297.74 × 6,521.81
  4. Step 4: Simplify right side
    13,543.10x = 132,377,869.61
  5. Step 5: Solve for x
    x = 132,377,869.61/13,543.10
  6. Step 6: Final answer
    x = 9,774.56

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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.