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Finding the Fourth Proportional to 21,883.70, 32,825.32 and 14,846.30

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Solution

The fourth proportional to 21,883.70, 32,825.32 and 14,846.30 is: 22,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,883.70 : 32,825.32 = 14,846.30 : x
  2. Step 2: Convert to fraction form
    21,883.70/32,825.32 = 14,846.30/x
  3. Step 3: Cross multiply
    21,883.70x = 32,825.32 × 14,846.30
  4. Step 4: Simplify right side
    21,883.70x = 487,334,548.32
  5. Step 5: Solve for x
    x = 487,334,548.32/21,883.70
  6. Step 6: Final answer
    x = 22,269.29

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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.