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Finding the Fourth Proportional to 14,540.66, 20,064.51 and 8,165.96

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Solution

The fourth proportional to 14,540.66, 20,064.51 and 8,165.96 is: 11,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.66 : 20,064.51 = 8,165.96 : x
  2. Step 2: Convert to fraction form
    14,540.66/20,064.51 = 8,165.96/x
  3. Step 3: Cross multiply
    14,540.66x = 20,064.51 × 8,165.96
  4. Step 4: Simplify right side
    14,540.66x = 163,845,885.76
  5. Step 5: Solve for x
    x = 163,845,885.76/14,540.66
  6. Step 6: Final answer
    x = 11,268.12

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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.