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Finding the Fourth Proportional to 23,809.42, 32,883.90 and 16,242.76

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Solution

The fourth proportional to 23,809.42, 32,883.90 and 16,242.76 is: 22,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.42 : 32,883.90 = 16,242.76 : x
  2. Step 2: Convert to fraction form
    23,809.42/32,883.90 = 16,242.76/x
  3. Step 3: Cross multiply
    23,809.42x = 32,883.90 × 16,242.76
  4. Step 4: Simplify right side
    23,809.42x = 534,125,295.56
  5. Step 5: Solve for x
    x = 534,125,295.56/23,809.42
  6. Step 6: Final answer
    x = 22,433.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.