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Finding the Fourth Proportional to 16,178.88, 24,269.97 and 4,492.08

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Solution

The fourth proportional to 16,178.88, 24,269.97 and 4,492.08 is: 6,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.88 : 24,269.97 = 4,492.08 : x
  2. Step 2: Convert to fraction form
    16,178.88/24,269.97 = 4,492.08/x
  3. Step 3: Cross multiply
    16,178.88x = 24,269.97 × 4,492.08
  4. Step 4: Simplify right side
    16,178.88x = 109,022,646.84
  5. Step 5: Solve for x
    x = 109,022,646.84/16,178.88
  6. Step 6: Final answer
    x = 6,738.58

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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.