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Finding the Fourth Proportional to 21,378.30, 32,067.45 and 9,714.30

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Solution

The fourth proportional to 21,378.30, 32,067.45 and 9,714.30 is: 14,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.30 : 32,067.45 = 9,714.30 : x
  2. Step 2: Convert to fraction form
    21,378.30/32,067.45 = 9,714.30/x
  3. Step 3: Cross multiply
    21,378.30x = 32,067.45 × 9,714.30
  4. Step 4: Simplify right side
    21,378.30x = 311,512,829.54
  5. Step 5: Solve for x
    x = 311,512,829.54/21,378.30
  6. Step 6: Final answer
    x = 14,571.45

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