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Finding the Fourth Proportional to 13,427.57, 18,529.42 and 7,459.61

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Solution

The fourth proportional to 13,427.57, 18,529.42 and 7,459.61 is: 10,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.57 : 18,529.42 = 7,459.61 : x
  2. Step 2: Convert to fraction form
    13,427.57/18,529.42 = 7,459.61/x
  3. Step 3: Cross multiply
    13,427.57x = 18,529.42 × 7,459.61
  4. Step 4: Simplify right side
    13,427.57x = 138,222,195.89
  5. Step 5: Solve for x
    x = 138,222,195.89/13,427.57
  6. Step 6: Final answer
    x = 10,293.91

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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.