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Finding the Fourth Proportional to 27,586.49, 38,077.17 and 16,262.57

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Solution

The fourth proportional to 27,586.49, 38,077.17 and 16,262.57 is: 22,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.49 : 38,077.17 = 16,262.57 : x
  2. Step 2: Convert to fraction form
    27,586.49/38,077.17 = 16,262.57/x
  3. Step 3: Cross multiply
    27,586.49x = 38,077.17 × 16,262.57
  4. Step 4: Simplify right side
    27,586.49x = 619,232,642.53
  5. Step 5: Solve for x
    x = 619,232,642.53/27,586.49
  6. Step 6: Final answer
    x = 22,446.95

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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.