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Finding the Fourth Proportional to 16,443.85, 24,671.99 and 9,874.61

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Solution

The fourth proportional to 16,443.85, 24,671.99 and 9,874.61 is: 14,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.85 : 24,671.99 = 9,874.61 : x
  2. Step 2: Convert to fraction form
    16,443.85/24,671.99 = 9,874.61/x
  3. Step 3: Cross multiply
    16,443.85x = 24,671.99 × 9,874.61
  4. Step 4: Simplify right side
    16,443.85x = 243,626,365.51
  5. Step 5: Solve for x
    x = 243,626,365.51/16,443.85
  6. Step 6: Final answer
    x = 14,815.65

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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.