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Finding the Fourth Proportional to 27,452.25, 37,884.24 and 14,877

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Solution

The fourth proportional to 27,452.25, 37,884.24 and 14,877 is: 20,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452.25 : 37,884.24 = 14,877 : x
  2. Step 2: Convert to fraction form
    27,452.25/37,884.24 = 14,877/x
  3. Step 3: Cross multiply
    27,452.25x = 37,884.24 × 14,877
  4. Step 4: Simplify right side
    27,452.25x = 563,603,838.48
  5. Step 5: Solve for x
    x = 563,603,838.48/27,452.25
  6. Step 6: Final answer
    x = 20,530.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.