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Finding the Fourth Proportional to 18,095.81, 24,972.26 and 10,138.14

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Solution

The fourth proportional to 18,095.81, 24,972.26 and 10,138.14 is: 13,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,095.81 : 24,972.26 = 10,138.14 : x
  2. Step 2: Convert to fraction form
    18,095.81/24,972.26 = 10,138.14/x
  3. Step 3: Cross multiply
    18,095.81x = 24,972.26 × 10,138.14
  4. Step 4: Simplify right side
    18,095.81x = 253,172,217.31
  5. Step 5: Solve for x
    x = 253,172,217.31/18,095.81
  6. Step 6: Final answer
    x = 13,990.66

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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.