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Finding the Fourth Proportional to 17,785.81, 24,544.08 and 9,827.87

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Solution

The fourth proportional to 17,785.81, 24,544.08 and 9,827.87 is: 13,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.81 : 24,544.08 = 9,827.87 : x
  2. Step 2: Convert to fraction form
    17,785.81/24,544.08 = 9,827.87/x
  3. Step 3: Cross multiply
    17,785.81x = 24,544.08 × 9,827.87
  4. Step 4: Simplify right side
    17,785.81x = 241,215,904.79
  5. Step 5: Solve for x
    x = 241,215,904.79/17,785.81
  6. Step 6: Final answer
    x = 13,562.27

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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.