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Finding the Fourth Proportional to 27,922.14, 38,530.53 and 16,591.14

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Solution

The fourth proportional to 27,922.14, 38,530.53 and 16,591.14 is: 22,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.14 : 38,530.53 = 16,591.14 : x
  2. Step 2: Convert to fraction form
    27,922.14/38,530.53 = 16,591.14/x
  3. Step 3: Cross multiply
    27,922.14x = 38,530.53 × 16,591.14
  4. Step 4: Simplify right side
    27,922.14x = 639,265,417.50
  5. Step 5: Solve for x
    x = 639,265,417.50/27,922.14
  6. Step 6: Final answer
    x = 22,894.57

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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.