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Finding the Fourth Proportional to 12,357.92, 18,493.79 and 10,110.78

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Solution

The fourth proportional to 12,357.92, 18,493.79 and 10,110.78 is: 15,130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.92 : 18,493.79 = 10,110.78 : x
  2. Step 2: Convert to fraction form
    12,357.92/18,493.79 = 10,110.78/x
  3. Step 3: Cross multiply
    12,357.92x = 18,493.79 × 10,110.78
  4. Step 4: Simplify right side
    12,357.92x = 186,986,591.50
  5. Step 5: Solve for x
    x = 186,986,591.50/12,357.92
  6. Step 6: Final answer
    x = 15,130.92

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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.