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Finding the Fourth Proportional to 16,205.70, 24,294.15 and 14,456.10

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Solution

The fourth proportional to 16,205.70, 24,294.15 and 14,456.10 is: 21,671.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.70 : 24,294.15 = 14,456.10 : x
  2. Step 2: Convert to fraction form
    16,205.70/24,294.15 = 14,456.10/x
  3. Step 3: Cross multiply
    16,205.70x = 24,294.15 × 14,456.10
  4. Step 4: Simplify right side
    16,205.70x = 351,198,661.82
  5. Step 5: Solve for x
    x = 351,198,661.82/16,205.70
  6. Step 6: Final answer
    x = 21,671.30

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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.