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Finding the Fourth Proportional to 23,070.71, 34,606.07 and 6,431.17

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Solution

The fourth proportional to 23,070.71, 34,606.07 and 6,431.17 is: 9,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.71 : 34,606.07 = 6,431.17 : x
  2. Step 2: Convert to fraction form
    23,070.71/34,606.07 = 6,431.17/x
  3. Step 3: Cross multiply
    23,070.71x = 34,606.07 × 6,431.17
  4. Step 4: Simplify right side
    23,070.71x = 222,557,519.20
  5. Step 5: Solve for x
    x = 222,557,519.20/23,070.71
  6. Step 6: Final answer
    x = 9,646.76

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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.