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Finding the Fourth Proportional to 16,492.31, 22,759.34 and 8,938.83

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Solution

The fourth proportional to 16,492.31, 22,759.34 and 8,938.83 is: 12,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,492.31 : 22,759.34 = 8,938.83 : x
  2. Step 2: Convert to fraction form
    16,492.31/22,759.34 = 8,938.83/x
  3. Step 3: Cross multiply
    16,492.31x = 22,759.34 × 8,938.83
  4. Step 4: Simplify right side
    16,492.31x = 203,441,871.17
  5. Step 5: Solve for x
    x = 203,441,871.17/16,492.31
  6. Step 6: Final answer
    x = 12,335.56

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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.