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Finding the Fourth Proportional to 16,738.02, 25,113.86 and 7,377.66

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Solution

The fourth proportional to 16,738.02, 25,113.86 and 7,377.66 is: 11,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.02 : 25,113.86 = 7,377.66 : x
  2. Step 2: Convert to fraction form
    16,738.02/25,113.86 = 7,377.66/x
  3. Step 3: Cross multiply
    16,738.02x = 25,113.86 × 7,377.66
  4. Step 4: Simplify right side
    16,738.02x = 185,281,520.37
  5. Step 5: Solve for x
    x = 185,281,520.37/16,738.02
  6. Step 6: Final answer
    x = 11,069.50

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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.