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Finding the Fourth Proportional to 18,097.68, 24,975.36 and 10,138.08

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Solution

The fourth proportional to 18,097.68, 24,975.36 and 10,138.08 is: 13,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.68 : 24,975.36 = 10,138.08 : x
  2. Step 2: Convert to fraction form
    18,097.68/24,975.36 = 10,138.08/x
  3. Step 3: Cross multiply
    18,097.68x = 24,975.36 × 10,138.08
  4. Step 4: Simplify right side
    18,097.68x = 253,202,197.71
  5. Step 5: Solve for x
    x = 253,202,197.71/18,097.68
  6. Step 6: Final answer
    x = 13,990.87

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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.