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Finding the Fourth Proportional to 14,833.46, 22,206.72 and 7,796.90

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Solution

The fourth proportional to 14,833.46, 22,206.72 and 7,796.90 is: 11,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.46 : 22,206.72 = 7,796.90 : x
  2. Step 2: Convert to fraction form
    14,833.46/22,206.72 = 7,796.90/x
  3. Step 3: Cross multiply
    14,833.46x = 22,206.72 × 7,796.90
  4. Step 4: Simplify right side
    14,833.46x = 173,143,575.17
  5. Step 5: Solve for x
    x = 173,143,575.17/14,833.46
  6. Step 6: Final answer
    x = 11,672.50

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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.