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Finding the Fourth Proportional to 16,502.76, 24,755.22 and 4,815

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Solution

The fourth proportional to 16,502.76, 24,755.22 and 4,815 is: 7,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.76 : 24,755.22 = 4,815 : x
  2. Step 2: Convert to fraction form
    16,502.76/24,755.22 = 4,815/x
  3. Step 3: Cross multiply
    16,502.76x = 24,755.22 × 4,815
  4. Step 4: Simplify right side
    16,502.76x = 119,196,384.30
  5. Step 5: Solve for x
    x = 119,196,384.30/16,502.76
  6. Step 6: Final answer
    x = 7,222.82

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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.