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Finding the Fourth Proportional to 12,293.31, 16,959.94 and 7,569.39

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Solution

The fourth proportional to 12,293.31, 16,959.94 and 7,569.39 is: 10,442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.31 : 16,959.94 = 7,569.39 : x
  2. Step 2: Convert to fraction form
    12,293.31/16,959.94 = 7,569.39/x
  3. Step 3: Cross multiply
    12,293.31x = 16,959.94 × 7,569.39
  4. Step 4: Simplify right side
    12,293.31x = 128,376,400.24
  5. Step 5: Solve for x
    x = 128,376,400.24/12,293.31
  6. Step 6: Final answer
    x = 10,442.79

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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.