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Finding the Fourth Proportional to 27,473.52, 37,922.40 and 16,142.82

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Solution

The fourth proportional to 27,473.52, 37,922.40 and 16,142.82 is: 22,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473.52 : 37,922.40 = 16,142.82 : x
  2. Step 2: Convert to fraction form
    27,473.52/37,922.40 = 16,142.82/x
  3. Step 3: Cross multiply
    27,473.52x = 37,922.40 × 16,142.82
  4. Step 4: Simplify right side
    27,473.52x = 612,174,477.17
  5. Step 5: Solve for x
    x = 612,174,477.17/27,473.52
  6. Step 6: Final answer
    x = 22,282.35

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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.