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Finding the Fourth Proportional to 13,364.33, 18,442.80 and 7,314.71

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Solution

The fourth proportional to 13,364.33, 18,442.80 and 7,314.71 is: 10,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.33 : 18,442.80 = 7,314.71 : x
  2. Step 2: Convert to fraction form
    13,364.33/18,442.80 = 7,314.71/x
  3. Step 3: Cross multiply
    13,364.33x = 18,442.80 × 7,314.71
  4. Step 4: Simplify right side
    13,364.33x = 134,903,641.37
  5. Step 5: Solve for x
    x = 134,903,641.37/13,364.33
  6. Step 6: Final answer
    x = 10,094.31

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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.