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Finding the Fourth Proportional to 16,124.28, 24,187.05 and 4,438.50

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Solution

The fourth proportional to 16,124.28, 24,187.05 and 4,438.50 is: 6,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.28 : 24,187.05 = 4,438.50 : x
  2. Step 2: Convert to fraction form
    16,124.28/24,187.05 = 4,438.50/x
  3. Step 3: Cross multiply
    16,124.28x = 24,187.05 × 4,438.50
  4. Step 4: Simplify right side
    16,124.28x = 107,354,221.43
  5. Step 5: Solve for x
    x = 107,354,221.43/16,124.28
  6. Step 6: Final answer
    x = 6,657.92

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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.