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Finding the Fourth Proportional to 17,635.78, 24,337.68 and 9,678.74

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Solution

The fourth proportional to 17,635.78, 24,337.68 and 9,678.74 is: 13,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.78 : 24,337.68 = 9,678.74 : x
  2. Step 2: Convert to fraction form
    17,635.78/24,337.68 = 9,678.74/x
  3. Step 3: Cross multiply
    17,635.78x = 24,337.68 × 9,678.74
  4. Step 4: Simplify right side
    17,635.78x = 235,558,137.77
  5. Step 5: Solve for x
    x = 235,558,137.77/17,635.78
  6. Step 6: Final answer
    x = 13,356.83

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1.5x scale

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.