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Finding the Fourth Proportional to 13,353.68, 18,427.74 and 7,385.19

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Solution

The fourth proportional to 13,353.68, 18,427.74 and 7,385.19 is: 10,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.68 : 18,427.74 = 7,385.19 : x
  2. Step 2: Convert to fraction form
    13,353.68/18,427.74 = 7,385.19/x
  3. Step 3: Cross multiply
    13,353.68x = 18,427.74 × 7,385.19
  4. Step 4: Simplify right side
    13,353.68x = 136,092,361.17
  5. Step 5: Solve for x
    x = 136,092,361.17/13,353.68
  6. Step 6: Final answer
    x = 10,191.38

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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.