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Finding the Fourth Proportional to 14,377.82, 21,566.73 and 8,217.50

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Solution

The fourth proportional to 14,377.82, 21,566.73 and 8,217.50 is: 12,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.82 : 21,566.73 = 8,217.50 : x
  2. Step 2: Convert to fraction form
    14,377.82/21,566.73 = 8,217.50/x
  3. Step 3: Cross multiply
    14,377.82x = 21,566.73 × 8,217.50
  4. Step 4: Simplify right side
    14,377.82x = 177,224,603.78
  5. Step 5: Solve for x
    x = 177,224,603.78/14,377.82
  6. Step 6: Final answer
    x = 12,326.25

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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.