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Finding the Fourth Proportional to 22,941.38, 31,677.01 and 14,878.87

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Solution

The fourth proportional to 22,941.38, 31,677.01 and 14,878.87 is: 20,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,941.38 : 31,677.01 = 14,878.87 : x
  2. Step 2: Convert to fraction form
    22,941.38/31,677.01 = 14,878.87/x
  3. Step 3: Cross multiply
    22,941.38x = 31,677.01 × 14,878.87
  4. Step 4: Simplify right side
    22,941.38x = 471,317,997.39
  5. Step 5: Solve for x
    x = 471,317,997.39/22,941.38
  6. Step 6: Final answer
    x = 20,544.45

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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.