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Finding the Fourth Proportional to 27,878.40, 38,472.96 and 15,304.32

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Solution

The fourth proportional to 27,878.40, 38,472.96 and 15,304.32 is: 21,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.40 : 38,472.96 = 15,304.32 : x
  2. Step 2: Convert to fraction form
    27,878.40/38,472.96 = 15,304.32/x
  3. Step 3: Cross multiply
    27,878.40x = 38,472.96 × 15,304.32
  4. Step 4: Simplify right side
    27,878.40x = 588,802,491.19
  5. Step 5: Solve for x
    x = 588,802,491.19/27,878.40
  6. Step 6: Final answer
    x = 21,120.38

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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.