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Finding the Fourth Proportional to 27,468.80, 37,907.22 and 16,138.76

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Solution

The fourth proportional to 27,468.80, 37,907.22 and 16,138.76 is: 22,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.80 : 37,907.22 = 16,138.76 : x
  2. Step 2: Convert to fraction form
    27,468.80/37,907.22 = 16,138.76/x
  3. Step 3: Cross multiply
    27,468.80x = 37,907.22 × 16,138.76
  4. Step 4: Simplify right side
    27,468.80x = 611,775,336.31
  5. Step 5: Solve for x
    x = 611,775,336.31/27,468.80
  6. Step 6: Final answer
    x = 22,271.65

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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.