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Finding the Fourth Proportional to 27,838.72, 38,417.16 and 15,263.44

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Solution

The fourth proportional to 27,838.72, 38,417.16 and 15,263.44 is: 21,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.72 : 38,417.16 = 15,263.44 : x
  2. Step 2: Convert to fraction form
    27,838.72/38,417.16 = 15,263.44/x
  3. Step 3: Cross multiply
    27,838.72x = 38,417.16 × 15,263.44
  4. Step 4: Simplify right side
    27,838.72x = 586,378,016.63
  5. Step 5: Solve for x
    x = 586,378,016.63/27,838.72
  6. Step 6: Final answer
    x = 21,063.40

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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.