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Finding the Fourth Proportional to 27,880.76, 38,472.89 and 16,548.32

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Solution

The fourth proportional to 27,880.76, 38,472.89 and 16,548.32 is: 22,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880.76 : 38,472.89 = 16,548.32 : x
  2. Step 2: Convert to fraction form
    27,880.76/38,472.89 = 16,548.32/x
  3. Step 3: Cross multiply
    27,880.76x = 38,472.89 × 16,548.32
  4. Step 4: Simplify right side
    27,880.76x = 636,661,419.94
  5. Step 5: Solve for x
    x = 636,661,419.94/27,880.76
  6. Step 6: Final answer
    x = 22,835.16

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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.