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Finding the Fourth Proportional to 16,199.84, 24,290 and 10,989.92

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Solution

The fourth proportional to 16,199.84, 24,290 and 10,989.92 is: 16,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.84 : 24,290 = 10,989.92 : x
  2. Step 2: Convert to fraction form
    16,199.84/24,290 = 10,989.92/x
  3. Step 3: Cross multiply
    16,199.84x = 24,290 × 10,989.92
  4. Step 4: Simplify right side
    16,199.84x = 266,945,156.80
  5. Step 5: Solve for x
    x = 266,945,156.80/16,199.84
  6. Step 6: Final answer
    x = 16,478.26

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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.