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Finding the Fourth Proportional to 17,654.64, 26,482.88 and 7,794.01

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Solution

The fourth proportional to 17,654.64, 26,482.88 and 7,794.01 is: 11,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.64 : 26,482.88 = 7,794.01 : x
  2. Step 2: Convert to fraction form
    17,654.64/26,482.88 = 7,794.01/x
  3. Step 3: Cross multiply
    17,654.64x = 26,482.88 × 7,794.01
  4. Step 4: Simplify right side
    17,654.64x = 206,407,831.55
  5. Step 5: Solve for x
    x = 206,407,831.55/17,654.64
  6. Step 6: Final answer
    x = 11,691.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.