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Finding the Fourth Proportional to 13,146.68, 18,132.18 and 7,840.37

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Solution

The fourth proportional to 13,146.68, 18,132.18 and 7,840.37 is: 10,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.68 : 18,132.18 = 7,840.37 : x
  2. Step 2: Convert to fraction form
    13,146.68/18,132.18 = 7,840.37/x
  3. Step 3: Cross multiply
    13,146.68x = 18,132.18 × 7,840.37
  4. Step 4: Simplify right side
    13,146.68x = 142,163,000.11
  5. Step 5: Solve for x
    x = 142,163,000.11/13,146.68
  6. Step 6: Final answer
    x = 10,813.60

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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.