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Finding the Fourth Proportional to 12,840.73, 17,722.24 and 7,806.53

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Solution

The fourth proportional to 12,840.73, 17,722.24 and 7,806.53 is: 10,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.73 : 17,722.24 = 7,806.53 : x
  2. Step 2: Convert to fraction form
    12,840.73/17,722.24 = 7,806.53/x
  3. Step 3: Cross multiply
    12,840.73x = 17,722.24 × 7,806.53
  4. Step 4: Simplify right side
    12,840.73x = 138,349,090.10
  5. Step 5: Solve for x
    x = 138,349,090.10/12,840.73
  6. Step 6: Final answer
    x = 10,774.24

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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.