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Finding the Fourth Proportional to 12,967.92, 17,896.57 and 9,775.58

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Solution

The fourth proportional to 12,967.92, 17,896.57 and 9,775.58 is: 13,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.92 : 17,896.57 = 9,775.58 : x
  2. Step 2: Convert to fraction form
    12,967.92/17,896.57 = 9,775.58/x
  3. Step 3: Cross multiply
    12,967.92x = 17,896.57 × 9,775.58
  4. Step 4: Simplify right side
    12,967.92x = 174,949,351.76
  5. Step 5: Solve for x
    x = 174,949,351.76/12,967.92
  6. Step 6: Final answer
    x = 13,490.94

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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.