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Finding the Fourth Proportional to 14,709.67, 22,064.51 and 4,178.33

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Solution

The fourth proportional to 14,709.67, 22,064.51 and 4,178.33 is: 6,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.67 : 22,064.51 = 4,178.33 : x
  2. Step 2: Convert to fraction form
    14,709.67/22,064.51 = 4,178.33/x
  3. Step 3: Cross multiply
    14,709.67x = 22,064.51 × 4,178.33
  4. Step 4: Simplify right side
    14,709.67x = 92,192,786.93
  5. Step 5: Solve for x
    x = 92,192,786.93/14,709.67
  6. Step 6: Final answer
    x = 6,267.50

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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.