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Finding the Fourth Proportional to 16,492, 24,741.84 and 5,548

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Solution

The fourth proportional to 16,492, 24,741.84 and 5,548 is: 8,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492 : 24,741.84 = 5,548 : x
  2. Step 2: Convert to fraction form
    16,492/24,741.84 = 5,548/x
  3. Step 3: Cross multiply
    16,492x = 24,741.84 × 5,548
  4. Step 4: Simplify right side
    16,492x = 137,267,728.32
  5. Step 5: Solve for x
    x = 137,267,728.32/16,492
  6. Step 6: Final answer
    x = 8,323.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.