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Finding the Fourth Proportional to 17,956.38, 24,780.40 and 10,300.97

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Solution

The fourth proportional to 17,956.38, 24,780.40 and 10,300.97 is: 14,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.38 : 24,780.40 = 10,300.97 : x
  2. Step 2: Convert to fraction form
    17,956.38/24,780.40 = 10,300.97/x
  3. Step 3: Cross multiply
    17,956.38x = 24,780.40 × 10,300.97
  4. Step 4: Simplify right side
    17,956.38x = 255,262,131.24
  5. Step 5: Solve for x
    x = 255,262,131.24/17,956.38
  6. Step 6: Final answer
    x = 14,215.68

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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.