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Finding the Fourth Proportional to 16,197.74, 24,258.32 and 12,663

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Solution

The fourth proportional to 16,197.74, 24,258.32 and 12,663 is: 18,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.74 : 24,258.32 = 12,663 : x
  2. Step 2: Convert to fraction form
    16,197.74/24,258.32 = 12,663/x
  3. Step 3: Cross multiply
    16,197.74x = 24,258.32 × 12,663
  4. Step 4: Simplify right side
    16,197.74x = 307,183,106.16
  5. Step 5: Solve for x
    x = 307,183,106.16/16,197.74
  6. Step 6: Final answer
    x = 18,964.57

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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.