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Finding the Fourth Proportional to 27,462.15, 37,894.77 and 15,522.75

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Solution

The fourth proportional to 27,462.15, 37,894.77 and 15,522.75 is: 21,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.15 : 37,894.77 = 15,522.75 : x
  2. Step 2: Convert to fraction form
    27,462.15/37,894.77 = 15,522.75/x
  3. Step 3: Cross multiply
    27,462.15x = 37,894.77 × 15,522.75
  4. Step 4: Simplify right side
    27,462.15x = 588,231,041.02
  5. Step 5: Solve for x
    x = 588,231,041.02/27,462.15
  6. Step 6: Final answer
    x = 21,419.70

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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.