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Finding the Fourth Proportional to 16,041, 22,136.58 and 10,452

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Solution

The fourth proportional to 16,041, 22,136.58 and 10,452 is: 14,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041 : 22,136.58 = 10,452 : x
  2. Step 2: Convert to fraction form
    16,041/22,136.58 = 10,452/x
  3. Step 3: Cross multiply
    16,041x = 22,136.58 × 10,452
  4. Step 4: Simplify right side
    16,041x = 231,371,534.16
  5. Step 5: Solve for x
    x = 231,371,534.16/16,041
  6. Step 6: Final answer
    x = 14,423.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.