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Finding the Fourth Proportional to 14,559.87, 20,086.92 and 8,185

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Solution

The fourth proportional to 14,559.87, 20,086.92 and 8,185 is: 11,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.87 : 20,086.92 = 8,185 : x
  2. Step 2: Convert to fraction form
    14,559.87/20,086.92 = 8,185/x
  3. Step 3: Cross multiply
    14,559.87x = 20,086.92 × 8,185
  4. Step 4: Simplify right side
    14,559.87x = 164,411,440.20
  5. Step 5: Solve for x
    x = 164,411,440.20/14,559.87
  6. Step 6: Final answer
    x = 11,292.10

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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.