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Finding the Fourth Proportional to 14,663.64, 20,236.30 and 8,290.42

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Solution

The fourth proportional to 14,663.64, 20,236.30 and 8,290.42 is: 11,441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663.64 : 20,236.30 = 8,290.42 : x
  2. Step 2: Convert to fraction form
    14,663.64/20,236.30 = 8,290.42/x
  3. Step 3: Cross multiply
    14,663.64x = 20,236.30 × 8,290.42
  4. Step 4: Simplify right side
    14,663.64x = 167,767,426.25
  5. Step 5: Solve for x
    x = 167,767,426.25/14,663.64
  6. Step 6: Final answer
    x = 11,441.05

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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.