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Finding the Fourth Proportional to 16,113.84, 24,169.68 and 4,426.08

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Solution

The fourth proportional to 16,113.84, 24,169.68 and 4,426.08 is: 6,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.84 : 24,169.68 = 4,426.08 : x
  2. Step 2: Convert to fraction form
    16,113.84/24,169.68 = 4,426.08/x
  3. Step 3: Cross multiply
    16,113.84x = 24,169.68 × 4,426.08
  4. Step 4: Simplify right side
    16,113.84x = 106,976,937.25
  5. Step 5: Solve for x
    x = 106,976,937.25/16,113.84
  6. Step 6: Final answer
    x = 6,638.82

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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.