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Finding the Fourth Proportional to 27,876.40, 38,472.62 and 19,376.24

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Solution

The fourth proportional to 27,876.40, 38,472.62 and 19,376.24 is: 26,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.40 : 38,472.62 = 19,376.24 : x
  2. Step 2: Convert to fraction form
    27,876.40/38,472.62 = 19,376.24/x
  3. Step 3: Cross multiply
    27,876.40x = 38,472.62 × 19,376.24
  4. Step 4: Simplify right side
    27,876.40x = 745,454,718.55
  5. Step 5: Solve for x
    x = 745,454,718.55/27,876.40
  6. Step 6: Final answer
    x = 26,741.43

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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.