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Finding the Fourth Proportional to 21,671.89, 32,449.40 and 14,156.83

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Solution

The fourth proportional to 21,671.89, 32,449.40 and 14,156.83 is: 21,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.89 : 32,449.40 = 14,156.83 : x
  2. Step 2: Convert to fraction form
    21,671.89/32,449.40 = 14,156.83/x
  3. Step 3: Cross multiply
    21,671.89x = 32,449.40 × 14,156.83
  4. Step 4: Simplify right side
    21,671.89x = 459,380,639.40
  5. Step 5: Solve for x
    x = 459,380,639.40/21,671.89
  6. Step 6: Final answer
    x = 21,197.07

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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.