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Finding the Fourth Proportional to 12,057.71, 18,071.96 and 5,117.63

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Solution

The fourth proportional to 12,057.71, 18,071.96 and 5,117.63 is: 7,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.71 : 18,071.96 = 5,117.63 : x
  2. Step 2: Convert to fraction form
    12,057.71/18,071.96 = 5,117.63/x
  3. Step 3: Cross multiply
    12,057.71x = 18,071.96 × 5,117.63
  4. Step 4: Simplify right side
    12,057.71x = 92,485,488.71
  5. Step 5: Solve for x
    x = 92,485,488.71/12,057.71
  6. Step 6: Final answer
    x = 7,670.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.