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Finding the Fourth Proportional to 22,578.78, 31,173.93 and 14,093.82

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Solution

The fourth proportional to 22,578.78, 31,173.93 and 14,093.82 is: 19,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.78 : 31,173.93 = 14,093.82 : x
  2. Step 2: Convert to fraction form
    22,578.78/31,173.93 = 14,093.82/x
  3. Step 3: Cross multiply
    22,578.78x = 31,173.93 × 14,093.82
  4. Step 4: Simplify right side
    22,578.78x = 439,359,758.11
  5. Step 5: Solve for x
    x = 439,359,758.11/22,578.78
  6. Step 6: Final answer
    x = 19,458.97

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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.