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Finding the Fourth Proportional to 16,024.69, 24,022.39 and 7,135.35

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Solution

The fourth proportional to 16,024.69, 24,022.39 and 7,135.35 is: 10,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.69 : 24,022.39 = 7,135.35 : x
  2. Step 2: Convert to fraction form
    16,024.69/24,022.39 = 7,135.35/x
  3. Step 3: Cross multiply
    16,024.69x = 24,022.39 × 7,135.35
  4. Step 4: Simplify right side
    16,024.69x = 171,408,160.49
  5. Step 5: Solve for x
    x = 171,408,160.49/16,024.69
  6. Step 6: Final answer
    x = 10,696.50

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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.