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Finding the Fourth Proportional to 27,014, 37,283.64 and 15,836

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Solution

The fourth proportional to 27,014, 37,283.64 and 15,836 is: 21,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014 : 37,283.64 = 15,836 : x
  2. Step 2: Convert to fraction form
    27,014/37,283.64 = 15,836/x
  3. Step 3: Cross multiply
    27,014x = 37,283.64 × 15,836
  4. Step 4: Simplify right side
    27,014x = 590,423,723.04
  5. Step 5: Solve for x
    x = 590,423,723.04/27,014
  6. Step 6: Final answer
    x = 21,856.21

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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.