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Finding the Fourth Proportional to 16,182.95, 24,274.41 and 4,496.16

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Solution

The fourth proportional to 16,182.95, 24,274.41 and 4,496.16 is: 6,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.95 : 24,274.41 = 4,496.16 : x
  2. Step 2: Convert to fraction form
    16,182.95/24,274.41 = 4,496.16/x
  3. Step 3: Cross multiply
    16,182.95x = 24,274.41 × 4,496.16
  4. Step 4: Simplify right side
    16,182.95x = 109,141,631.27
  5. Step 5: Solve for x
    x = 109,141,631.27/16,182.95
  6. Step 6: Final answer
    x = 6,744.24

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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.