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Finding the Fourth Proportional to 18,144, 25,039.98 and 10,078.83

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Solution

The fourth proportional to 18,144, 25,039.98 and 10,078.83 is: 13,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144 : 25,039.98 = 10,078.83 : x
  2. Step 2: Convert to fraction form
    18,144/25,039.98 = 10,078.83/x
  3. Step 3: Cross multiply
    18,144x = 25,039.98 × 10,078.83
  4. Step 4: Simplify right side
    18,144x = 252,373,701.62
  5. Step 5: Solve for x
    x = 252,373,701.62/18,144
  6. Step 6: Final answer
    x = 13,909.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.