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Finding the Fourth Proportional to 16,509.38, 24,767.49 and 5,415.18

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Solution

The fourth proportional to 16,509.38, 24,767.49 and 5,415.18 is: 8,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.38 : 24,767.49 = 5,415.18 : x
  2. Step 2: Convert to fraction form
    16,509.38/24,767.49 = 5,415.18/x
  3. Step 3: Cross multiply
    16,509.38x = 24,767.49 × 5,415.18
  4. Step 4: Simplify right side
    16,509.38x = 134,120,416.50
  5. Step 5: Solve for x
    x = 134,120,416.50/16,509.38
  6. Step 6: Final answer
    x = 8,123.89

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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.