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Finding the Fourth Proportional to 27,986.46, 38,623.07 and 15,411.21

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Solution

The fourth proportional to 27,986.46, 38,623.07 and 15,411.21 is: 21,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.46 : 38,623.07 = 15,411.21 : x
  2. Step 2: Convert to fraction form
    27,986.46/38,623.07 = 15,411.21/x
  3. Step 3: Cross multiply
    27,986.46x = 38,623.07 × 15,411.21
  4. Step 4: Simplify right side
    27,986.46x = 595,228,242.61
  5. Step 5: Solve for x
    x = 595,228,242.61/27,986.46
  6. Step 6: Final answer
    x = 21,268.44

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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.