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Finding the Fourth Proportional to 18,094.74, 24,971.75 and 10,138.11

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Solution

The fourth proportional to 18,094.74, 24,971.75 and 10,138.11 is: 13,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,094.74 : 24,971.75 = 10,138.11 : x
  2. Step 2: Convert to fraction form
    18,094.74/24,971.75 = 10,138.11/x
  3. Step 3: Cross multiply
    18,094.74x = 24,971.75 × 10,138.11
  4. Step 4: Simplify right side
    18,094.74x = 253,166,297.70
  5. Step 5: Solve for x
    x = 253,166,297.70/18,094.74
  6. Step 6: Final answer
    x = 13,991.15

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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.