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Finding the Fourth Proportional to 27,348.21, 37,740.87 and 15,411.24

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Solution

The fourth proportional to 27,348.21, 37,740.87 and 15,411.24 is: 21,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.21 : 37,740.87 = 15,411.24 : x
  2. Step 2: Convert to fraction form
    27,348.21/37,740.87 = 15,411.24/x
  3. Step 3: Cross multiply
    27,348.21x = 37,740.87 × 15,411.24
  4. Step 4: Simplify right side
    27,348.21x = 581,633,605.38
  5. Step 5: Solve for x
    x = 581,633,605.38/27,348.21
  6. Step 6: Final answer
    x = 21,267.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.