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Finding the Fourth Proportional to 17,785.93, 24,544.41 and 9,828.16

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Solution

The fourth proportional to 17,785.93, 24,544.41 and 9,828.16 is: 13,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.93 : 24,544.41 = 9,828.16 : x
  2. Step 2: Convert to fraction form
    17,785.93/24,544.41 = 9,828.16/x
  3. Step 3: Cross multiply
    17,785.93x = 24,544.41 × 9,828.16
  4. Step 4: Simplify right side
    17,785.93x = 241,226,388.59
  5. Step 5: Solve for x
    x = 241,226,388.59/17,785.93
  6. Step 6: Final answer
    x = 13,562.76

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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.