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Finding the Fourth Proportional to 16,205.47, 24,284.00 and 14,669.37

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Solution

The fourth proportional to 16,205.47, 24,284.00 and 14,669.37 is: 21,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.47 : 24,284.00 = 14,669.37 : x
  2. Step 2: Convert to fraction form
    16,205.47/24,284.00 = 14,669.37/x
  3. Step 3: Cross multiply
    16,205.47x = 24,284.00 × 14,669.37
  4. Step 4: Simplify right side
    16,205.47x = 356,231,017.75
  5. Step 5: Solve for x
    x = 356,231,017.75/16,205.47
  6. Step 6: Final answer
    x = 21,982.15

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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.