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Finding the Fourth Proportional to 16,334.42, 24,503.92 and 5,238.50

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Solution

The fourth proportional to 16,334.42, 24,503.92 and 5,238.50 is: 7,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.42 : 24,503.92 = 5,238.50 : x
  2. Step 2: Convert to fraction form
    16,334.42/24,503.92 = 5,238.50/x
  3. Step 3: Cross multiply
    16,334.42x = 24,503.92 × 5,238.50
  4. Step 4: Simplify right side
    16,334.42x = 128,363,784.92
  5. Step 5: Solve for x
    x = 128,363,784.92/16,334.42
  6. Step 6: Final answer
    x = 7,858.48

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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.