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Finding the Fourth Proportional to 14,899.47, 20,561.38 and 8,185.17

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Solution

The fourth proportional to 14,899.47, 20,561.38 and 8,185.17 is: 11,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,899.47 : 20,561.38 = 8,185.17 : x
  2. Step 2: Convert to fraction form
    14,899.47/20,561.38 = 8,185.17/x
  3. Step 3: Cross multiply
    14,899.47x = 20,561.38 × 8,185.17
  4. Step 4: Simplify right side
    14,899.47x = 168,298,390.73
  5. Step 5: Solve for x
    x = 168,298,390.73/14,899.47
  6. Step 6: Final answer
    x = 11,295.60

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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.