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Finding the Fourth Proportional to 21,232.90, 31,850.08 and 9,546.16

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Solution

The fourth proportional to 21,232.90, 31,850.08 and 9,546.16 is: 14,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.90 : 31,850.08 = 9,546.16 : x
  2. Step 2: Convert to fraction form
    21,232.90/31,850.08 = 9,546.16/x
  3. Step 3: Cross multiply
    21,232.90x = 31,850.08 × 9,546.16
  4. Step 4: Simplify right side
    21,232.90x = 304,045,959.69
  5. Step 5: Solve for x
    x = 304,045,959.69/21,232.90
  6. Step 6: Final answer
    x = 14,319.57

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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.