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Finding the Fourth Proportional to 21,382.14, 32,064.04 and 7,343.58

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Solution

The fourth proportional to 21,382.14, 32,064.04 and 7,343.58 is: 11,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.14 : 32,064.04 = 7,343.58 : x
  2. Step 2: Convert to fraction form
    21,382.14/32,064.04 = 7,343.58/x
  3. Step 3: Cross multiply
    21,382.14x = 32,064.04 × 7,343.58
  4. Step 4: Simplify right side
    21,382.14x = 235,464,972.28
  5. Step 5: Solve for x
    x = 235,464,972.28/21,382.14
  6. Step 6: Final answer
    x = 11,012.22

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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.