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Finding the Fourth Proportional to 27,774.15, 38,322.67 and 16,438

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Solution

The fourth proportional to 27,774.15, 38,322.67 and 16,438 is: 22,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.15 : 38,322.67 = 16,438 : x
  2. Step 2: Convert to fraction form
    27,774.15/38,322.67 = 16,438/x
  3. Step 3: Cross multiply
    27,774.15x = 38,322.67 × 16,438
  4. Step 4: Simplify right side
    27,774.15x = 629,947,967.27
  5. Step 5: Solve for x
    x = 629,947,967.27/27,774.15
  6. Step 6: Final answer
    x = 22,681.09

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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.