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Finding the Fourth Proportional to 16,507.50, 24,733.30 and 11,803.62

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Solution

The fourth proportional to 16,507.50, 24,733.30 and 11,803.62 is: 17,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.50 : 24,733.30 = 11,803.62 : x
  2. Step 2: Convert to fraction form
    16,507.50/24,733.30 = 11,803.62/x
  3. Step 3: Cross multiply
    16,507.50x = 24,733.30 × 11,803.62
  4. Step 4: Simplify right side
    16,507.50x = 291,942,559.92
  5. Step 5: Solve for x
    x = 291,942,559.92/16,507.50
  6. Step 6: Final answer
    x = 17,685.45

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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.