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Finding the Fourth Proportional to 16,138.18, 24,204.36 and 4,448.50

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Solution

The fourth proportional to 16,138.18, 24,204.36 and 4,448.50 is: 6,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.18 : 24,204.36 = 4,448.50 : x
  2. Step 2: Convert to fraction form
    16,138.18/24,204.36 = 4,448.50/x
  3. Step 3: Cross multiply
    16,138.18x = 24,204.36 × 4,448.50
  4. Step 4: Simplify right side
    16,138.18x = 107,673,095.46
  5. Step 5: Solve for x
    x = 107,673,095.46/16,138.18
  6. Step 6: Final answer
    x = 6,671.95

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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.