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Finding the Fourth Proportional to 13,364.76, 18,442.74 and 7,314.87

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Solution

The fourth proportional to 13,364.76, 18,442.74 and 7,314.87 is: 10,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.76 : 18,442.74 = 7,314.87 : x
  2. Step 2: Convert to fraction form
    13,364.76/18,442.74 = 7,314.87/x
  3. Step 3: Cross multiply
    13,364.76x = 18,442.74 × 7,314.87
  4. Step 4: Simplify right side
    13,364.76x = 134,906,245.54
  5. Step 5: Solve for x
    x = 134,906,245.54/13,364.76
  6. Step 6: Final answer
    x = 10,094.18

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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.