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Finding the Fourth Proportional to 13,380.78, 18,465.49 and 7,412.32

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Solution

The fourth proportional to 13,380.78, 18,465.49 and 7,412.32 is: 10,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.78 : 18,465.49 = 7,412.32 : x
  2. Step 2: Convert to fraction form
    13,380.78/18,465.49 = 7,412.32/x
  3. Step 3: Cross multiply
    13,380.78x = 18,465.49 × 7,412.32
  4. Step 4: Simplify right side
    13,380.78x = 136,872,120.84
  5. Step 5: Solve for x
    x = 136,872,120.84/13,380.78
  6. Step 6: Final answer
    x = 10,229.01

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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.