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Finding the Fourth Proportional to 12,689.89, 17,511.83 and 7,024.51

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Solution

The fourth proportional to 12,689.89, 17,511.83 and 7,024.51 is: 9,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.89 : 17,511.83 = 7,024.51 : x
  2. Step 2: Convert to fraction form
    12,689.89/17,511.83 = 7,024.51/x
  3. Step 3: Cross multiply
    12,689.89x = 17,511.83 × 7,024.51
  4. Step 4: Simplify right side
    12,689.89x = 123,012,102.13
  5. Step 5: Solve for x
    x = 123,012,102.13/12,689.89
  6. Step 6: Final answer
    x = 9,693.71

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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.