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Finding the Fourth Proportional to 16,443.80, 24,671.92 and 9,874.57

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Solution

The fourth proportional to 16,443.80, 24,671.92 and 9,874.57 is: 14,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.80 : 24,671.92 = 9,874.57 : x
  2. Step 2: Convert to fraction form
    16,443.80/24,671.92 = 9,874.57/x
  3. Step 3: Cross multiply
    16,443.80x = 24,671.92 × 9,874.57
  4. Step 4: Simplify right side
    16,443.80x = 243,624,514.71
  5. Step 5: Solve for x
    x = 243,624,514.71/16,443.80
  6. Step 6: Final answer
    x = 14,815.58

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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.