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Finding the Fourth Proportional to 17,338.64, 23,925.53 and 9,785.39

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Solution

The fourth proportional to 17,338.64, 23,925.53 and 9,785.39 is: 13,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.64 : 23,925.53 = 9,785.39 : x
  2. Step 2: Convert to fraction form
    17,338.64/23,925.53 = 9,785.39/x
  3. Step 3: Cross multiply
    17,338.64x = 23,925.53 × 9,785.39
  4. Step 4: Simplify right side
    17,338.64x = 234,120,593.08
  5. Step 5: Solve for x
    x = 234,120,593.08/17,338.64
  6. Step 6: Final answer
    x = 13,502.82

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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.