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Finding the Fourth Proportional to 27,894.40, 38,491.20 and 15,960.96

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Solution

The fourth proportional to 27,894.40, 38,491.20 and 15,960.96 is: 22,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.40 : 38,491.20 = 15,960.96 : x
  2. Step 2: Convert to fraction form
    27,894.40/38,491.20 = 15,960.96/x
  3. Step 3: Cross multiply
    27,894.40x = 38,491.20 × 15,960.96
  4. Step 4: Simplify right side
    27,894.40x = 614,356,503.55
  5. Step 5: Solve for x
    x = 614,356,503.55/27,894.40
  6. Step 6: Final answer
    x = 22,024.37

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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.