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Finding the Fourth Proportional to 17,785.78, 24,544.02 and 9,827.80

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Solution

The fourth proportional to 17,785.78, 24,544.02 and 9,827.80 is: 13,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.78 : 24,544.02 = 9,827.80 : x
  2. Step 2: Convert to fraction form
    17,785.78/24,544.02 = 9,827.80/x
  3. Step 3: Cross multiply
    17,785.78x = 24,544.02 × 9,827.80
  4. Step 4: Simplify right side
    17,785.78x = 241,213,719.76
  5. Step 5: Solve for x
    x = 241,213,719.76/17,785.78
  6. Step 6: Final answer
    x = 13,562.17

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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.