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Finding the Fourth Proportional to 12,737.34, 17,573.94 and 8,261.28

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Solution

The fourth proportional to 12,737.34, 17,573.94 and 8,261.28 is: 11,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.34 : 17,573.94 = 8,261.28 : x
  2. Step 2: Convert to fraction form
    12,737.34/17,573.94 = 8,261.28/x
  3. Step 3: Cross multiply
    12,737.34x = 17,573.94 × 8,261.28
  4. Step 4: Simplify right side
    12,737.34x = 145,183,239.04
  5. Step 5: Solve for x
    x = 145,183,239.04/12,737.34
  6. Step 6: Final answer
    x = 11,398.24

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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.