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Finding the Fourth Proportional to 16,219.69, 24,285.51 and 8,412.10

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Solution

The fourth proportional to 16,219.69, 24,285.51 and 8,412.10 is: 12,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.69 : 24,285.51 = 8,412.10 : x
  2. Step 2: Convert to fraction form
    16,219.69/24,285.51 = 8,412.10/x
  3. Step 3: Cross multiply
    16,219.69x = 24,285.51 × 8,412.10
  4. Step 4: Simplify right side
    16,219.69x = 204,292,138.67
  5. Step 5: Solve for x
    x = 204,292,138.67/16,219.69
  6. Step 6: Final answer
    x = 12,595.32

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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.