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Finding the Fourth Proportional to 16,443.74, 24,671.79 and 9,874.64

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Solution

The fourth proportional to 16,443.74, 24,671.79 and 9,874.64 is: 14,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.74 : 24,671.79 = 9,874.64 : x
  2. Step 2: Convert to fraction form
    16,443.74/24,671.79 = 9,874.64/x
  3. Step 3: Cross multiply
    16,443.74x = 24,671.79 × 9,874.64
  4. Step 4: Simplify right side
    16,443.74x = 243,625,106.09
  5. Step 5: Solve for x
    x = 243,625,106.09/16,443.74
  6. Step 6: Final answer
    x = 14,815.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.