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Finding the Fourth Proportional to 16,211.84, 24,317.76 and 5,821.12

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Solution

The fourth proportional to 16,211.84, 24,317.76 and 5,821.12 is: 8,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.84 : 24,317.76 = 5,821.12 : x
  2. Step 2: Convert to fraction form
    16,211.84/24,317.76 = 5,821.12/x
  3. Step 3: Cross multiply
    16,211.84x = 24,317.76 × 5,821.12
  4. Step 4: Simplify right side
    16,211.84x = 141,556,599.09
  5. Step 5: Solve for x
    x = 141,556,599.09/16,211.84
  6. Step 6: Final answer
    x = 8,731.68

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Similar ratio
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1.5x scale

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.