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Finding the Fourth Proportional to 39,200.64, 58,803.84 and 11,499.84

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Solution

The fourth proportional to 39,200.64, 58,803.84 and 11,499.84 is: 17,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,200.64 : 58,803.84 = 11,499.84 : x
  2. Step 2: Convert to fraction form
    39,200.64/58,803.84 = 11,499.84/x
  3. Step 3: Cross multiply
    39,200.64x = 58,803.84 × 11,499.84
  4. Step 4: Simplify right side
    39,200.64x = 676,234,751.39
  5. Step 5: Solve for x
    x = 676,234,751.39/39,200.64
  6. Step 6: Final answer
    x = 17,250.60

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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.