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Finding the Fourth Proportional to 19,758.38, 27,288.63 and 15,335.78

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Solution

The fourth proportional to 19,758.38, 27,288.63 and 15,335.78 is: 21,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.38 : 27,288.63 = 15,335.78 : x
  2. Step 2: Convert to fraction form
    19,758.38/27,288.63 = 15,335.78/x
  3. Step 3: Cross multiply
    19,758.38x = 27,288.63 × 15,335.78
  4. Step 4: Simplify right side
    19,758.38x = 418,492,289.74
  5. Step 5: Solve for x
    x = 418,492,289.74/19,758.38
  6. Step 6: Final answer
    x = 21,180.50

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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.