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Finding the Fourth Proportional to 21,881.32, 32,825.20 and 7,085.32

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Solution

The fourth proportional to 21,881.32, 32,825.20 and 7,085.32 is: 10,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.32 : 32,825.20 = 7,085.32 : x
  2. Step 2: Convert to fraction form
    21,881.32/32,825.20 = 7,085.32/x
  3. Step 3: Cross multiply
    21,881.32x = 32,825.20 × 7,085.32
  4. Step 4: Simplify right side
    21,881.32x = 232,577,046.06
  5. Step 5: Solve for x
    x = 232,577,046.06/21,881.32
  6. Step 6: Final answer
    x = 10,629.02

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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.