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Finding the Fourth Proportional to 17,785.94, 24,545.12 and 9,828.68

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Solution

The fourth proportional to 17,785.94, 24,545.12 and 9,828.68 is: 13,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.94 : 24,545.12 = 9,828.68 : x
  2. Step 2: Convert to fraction form
    17,785.94/24,545.12 = 9,828.68/x
  3. Step 3: Cross multiply
    17,785.94x = 24,545.12 × 9,828.68
  4. Step 4: Simplify right side
    17,785.94x = 241,245,958.17
  5. Step 5: Solve for x
    x = 241,245,958.17/17,785.94
  6. Step 6: Final answer
    x = 13,563.86

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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.