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Finding the Fourth Proportional to 21,422.64, 32,127.79 and 7,382.10

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Solution

The fourth proportional to 21,422.64, 32,127.79 and 7,382.10 is: 11,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.64 : 32,127.79 = 7,382.10 : x
  2. Step 2: Convert to fraction form
    21,422.64/32,127.79 = 7,382.10/x
  3. Step 3: Cross multiply
    21,422.64x = 32,127.79 × 7,382.10
  4. Step 4: Simplify right side
    21,422.64x = 237,170,558.56
  5. Step 5: Solve for x
    x = 237,170,558.56/21,422.64
  6. Step 6: Final answer
    x = 11,071.02

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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.