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Finding the Fourth Proportional to 14,561.64, 20,092.46 and 8,186.40

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Solution

The fourth proportional to 14,561.64, 20,092.46 and 8,186.40 is: 11,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.64 : 20,092.46 = 8,186.40 : x
  2. Step 2: Convert to fraction form
    14,561.64/20,092.46 = 8,186.40/x
  3. Step 3: Cross multiply
    14,561.64x = 20,092.46 × 8,186.40
  4. Step 4: Simplify right side
    14,561.64x = 164,484,873.61
  5. Step 5: Solve for x
    x = 164,484,873.61/14,561.64
  6. Step 6: Final answer
    x = 11,295.77

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