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Finding the Fourth Proportional to 21,386.56, 32,072.16 and 8,232.32

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Solution

The fourth proportional to 21,386.56, 32,072.16 and 8,232.32 is: 12,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.56 : 32,072.16 = 8,232.32 : x
  2. Step 2: Convert to fraction form
    21,386.56/32,072.16 = 8,232.32/x
  3. Step 3: Cross multiply
    21,386.56x = 32,072.16 × 8,232.32
  4. Step 4: Simplify right side
    21,386.56x = 264,028,284.21
  5. Step 5: Solve for x
    x = 264,028,284.21/21,386.56
  6. Step 6: Final answer
    x = 12,345.52

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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.