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Finding the Fourth Proportional to 14,538.64, 20,061.82 and 8,165.93

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Solution

The fourth proportional to 14,538.64, 20,061.82 and 8,165.93 is: 11,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.64 : 20,061.82 = 8,165.93 : x
  2. Step 2: Convert to fraction form
    14,538.64/20,061.82 = 8,165.93/x
  3. Step 3: Cross multiply
    14,538.64x = 20,061.82 × 8,165.93
  4. Step 4: Simplify right side
    14,538.64x = 163,823,327.69
  5. Step 5: Solve for x
    x = 163,823,327.69/14,538.64
  6. Step 6: Final answer
    x = 11,268.13

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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.