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Finding the Fourth Proportional to 21,384.14, 32,067.04 and 7,345.58

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Solution

The fourth proportional to 21,384.14, 32,067.04 and 7,345.58 is: 11,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.14 : 32,067.04 = 7,345.58 : x
  2. Step 2: Convert to fraction form
    21,384.14/32,067.04 = 7,345.58/x
  3. Step 3: Cross multiply
    21,384.14x = 32,067.04 × 7,345.58
  4. Step 4: Simplify right side
    21,384.14x = 235,551,007.68
  5. Step 5: Solve for x
    x = 235,551,007.68/21,384.14
  6. Step 6: Final answer
    x = 11,015.22

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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.