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Finding the Fourth Proportional to 21,378, 32,067.08 and 5,795.64

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Solution

The fourth proportional to 21,378, 32,067.08 and 5,795.64 is: 8,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378 : 32,067.08 = 5,795.64 : x
  2. Step 2: Convert to fraction form
    21,378/32,067.08 = 5,795.64/x
  3. Step 3: Cross multiply
    21,378x = 32,067.08 × 5,795.64
  4. Step 4: Simplify right side
    21,378x = 185,849,251.53
  5. Step 5: Solve for x
    x = 185,849,251.53/21,378
  6. Step 6: Final answer
    x = 8,693.48

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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.