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Finding the Fourth Proportional to 12,497.98, 18,750.48 and 3,733.24

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Solution

The fourth proportional to 12,497.98, 18,750.48 and 3,733.24 is: 5,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.98 : 18,750.48 = 3,733.24 : x
  2. Step 2: Convert to fraction form
    12,497.98/18,750.48 = 3,733.24/x
  3. Step 3: Cross multiply
    12,497.98x = 18,750.48 × 3,733.24
  4. Step 4: Simplify right side
    12,497.98x = 70,000,041.96
  5. Step 5: Solve for x
    x = 70,000,041.96/12,497.98
  6. Step 6: Final answer
    x = 5,600.91

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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.