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Finding the Fourth Proportional to 12,644.31, 17,445.66 and 7,607.82

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Solution

The fourth proportional to 12,644.31, 17,445.66 and 7,607.82 is: 10,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.31 : 17,445.66 = 7,607.82 : x
  2. Step 2: Convert to fraction form
    12,644.31/17,445.66 = 7,607.82/x
  3. Step 3: Cross multiply
    12,644.31x = 17,445.66 × 7,607.82
  4. Step 4: Simplify right side
    12,644.31x = 132,723,441.06
  5. Step 5: Solve for x
    x = 132,723,441.06/12,644.31
  6. Step 6: Final answer
    x = 10,496.69

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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.