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Finding the Fourth Proportional to 16,043.84, 22,144.30 and 9,755

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Solution

The fourth proportional to 16,043.84, 22,144.30 and 9,755 is: 13,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.84 : 22,144.30 = 9,755 : x
  2. Step 2: Convert to fraction form
    16,043.84/22,144.30 = 9,755/x
  3. Step 3: Cross multiply
    16,043.84x = 22,144.30 × 9,755
  4. Step 4: Simplify right side
    16,043.84x = 216,017,646.50
  5. Step 5: Solve for x
    x = 216,017,646.50/16,043.84
  6. Step 6: Final answer
    x = 13,464.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.