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Finding the Fourth Proportional to 14,379.84, 21,568.32 and 6,583.68

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Solution

The fourth proportional to 14,379.84, 21,568.32 and 6,583.68 is: 9,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,379.84 : 21,568.32 = 6,583.68 : x
  2. Step 2: Convert to fraction form
    14,379.84/21,568.32 = 6,583.68/x
  3. Step 3: Cross multiply
    14,379.84x = 21,568.32 × 6,583.68
  4. Step 4: Simplify right side
    14,379.84x = 141,998,917.02
  5. Step 5: Solve for x
    x = 141,998,917.02/14,379.84
  6. Step 6: Final answer
    x = 9,874.86

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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.