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Finding the Fourth Proportional to 14,389.64, 21,578.78 and 6,991.91

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Solution

The fourth proportional to 14,389.64, 21,578.78 and 6,991.91 is: 10,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.64 : 21,578.78 = 6,991.91 : x
  2. Step 2: Convert to fraction form
    14,389.64/21,578.78 = 6,991.91/x
  3. Step 3: Cross multiply
    14,389.64x = 21,578.78 × 6,991.91
  4. Step 4: Simplify right side
    14,389.64x = 150,876,887.67
  5. Step 5: Solve for x
    x = 150,876,887.67/14,389.64
  6. Step 6: Final answer
    x = 10,485.11

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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.