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Finding the Fourth Proportional to 14,297.96, 21,446.78 and 5,862.58

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Solution

The fourth proportional to 14,297.96, 21,446.78 and 5,862.58 is: 8,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.96 : 21,446.78 = 5,862.58 : x
  2. Step 2: Convert to fraction form
    14,297.96/21,446.78 = 5,862.58/x
  3. Step 3: Cross multiply
    14,297.96x = 21,446.78 × 5,862.58
  4. Step 4: Simplify right side
    14,297.96x = 125,733,434.18
  5. Step 5: Solve for x
    x = 125,733,434.18/14,297.96
  6. Step 6: Final answer
    x = 8,793.80

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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.