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Finding the Fourth Proportional to 14,969.82, 20,656.71 and 8,680.98

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Solution

The fourth proportional to 14,969.82, 20,656.71 and 8,680.98 is: 11,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.82 : 20,656.71 = 8,680.98 : x
  2. Step 2: Convert to fraction form
    14,969.82/20,656.71 = 8,680.98/x
  3. Step 3: Cross multiply
    14,969.82x = 20,656.71 × 8,680.98
  4. Step 4: Simplify right side
    14,969.82x = 179,320,486.38
  5. Step 5: Solve for x
    x = 179,320,486.38/14,969.82
  6. Step 6: Final answer
    x = 11,978.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.