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Finding the Fourth Proportional to 14,816.59, 20,446.75 and 8,102.15

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Solution

The fourth proportional to 14,816.59, 20,446.75 and 8,102.15 is: 11,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.59 : 20,446.75 = 8,102.15 : x
  2. Step 2: Convert to fraction form
    14,816.59/20,446.75 = 8,102.15/x
  3. Step 3: Cross multiply
    14,816.59x = 20,446.75 × 8,102.15
  4. Step 4: Simplify right side
    14,816.59x = 165,662,492.77
  5. Step 5: Solve for x
    x = 165,662,492.77/14,816.59
  6. Step 6: Final answer
    x = 11,180.88

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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.