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Finding the Fourth Proportional to 16,178.94, 24,268.42 and 4,492.17

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Solution

The fourth proportional to 16,178.94, 24,268.42 and 4,492.17 is: 6,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.94 : 24,268.42 = 4,492.17 : x
  2. Step 2: Convert to fraction form
    16,178.94/24,268.42 = 4,492.17/x
  3. Step 3: Cross multiply
    16,178.94x = 24,268.42 × 4,492.17
  4. Step 4: Simplify right side
    16,178.94x = 109,017,868.27
  5. Step 5: Solve for x
    x = 109,017,868.27/16,178.94
  6. Step 6: Final answer
    x = 6,738.26

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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.