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Finding the Fourth Proportional to 12,689.31, 17,511.29 and 7,024.45

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Solution

The fourth proportional to 12,689.31, 17,511.29 and 7,024.45 is: 9,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.31 : 17,511.29 = 7,024.45 : x
  2. Step 2: Convert to fraction form
    12,689.31/17,511.29 = 7,024.45/x
  3. Step 3: Cross multiply
    12,689.31x = 17,511.29 × 7,024.45
  4. Step 4: Simplify right side
    12,689.31x = 123,007,181.04
  5. Step 5: Solve for x
    x = 123,007,181.04/12,689.31
  6. Step 6: Final answer
    x = 9,693.76

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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.