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Finding the Fourth Proportional to 13,348.93, 18,420.78 and 7,380.24

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Solution

The fourth proportional to 13,348.93, 18,420.78 and 7,380.24 is: 10,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,348.93 : 18,420.78 = 7,380.24 : x
  2. Step 2: Convert to fraction form
    13,348.93/18,420.78 = 7,380.24/x
  3. Step 3: Cross multiply
    13,348.93x = 18,420.78 × 7,380.24
  4. Step 4: Simplify right side
    13,348.93x = 135,949,777.39
  5. Step 5: Solve for x
    x = 135,949,777.39/13,348.93
  6. Step 6: Final answer
    x = 10,184.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.