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Finding the Fourth Proportional to 18,095.78, 24,977.13 and 11,022.14

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Solution

The fourth proportional to 18,095.78, 24,977.13 and 11,022.14 is: 15,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,095.78 : 24,977.13 = 11,022.14 : x
  2. Step 2: Convert to fraction form
    18,095.78/24,977.13 = 11,022.14/x
  3. Step 3: Cross multiply
    18,095.78x = 24,977.13 × 11,022.14
  4. Step 4: Simplify right side
    18,095.78x = 275,301,423.66
  5. Step 5: Solve for x
    x = 275,301,423.66/18,095.78
  6. Step 6: Final answer
    x = 15,213.57

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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.