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Finding the Fourth Proportional to 13,107.42, 18,093.78 and 12,420.34

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Solution

The fourth proportional to 13,107.42, 18,093.78 and 12,420.34 is: 17,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.42 : 18,093.78 = 12,420.34 : x
  2. Step 2: Convert to fraction form
    13,107.42/18,093.78 = 12,420.34/x
  3. Step 3: Cross multiply
    13,107.42x = 18,093.78 × 12,420.34
  4. Step 4: Simplify right side
    13,107.42x = 224,730,854.25
  5. Step 5: Solve for x
    x = 224,730,854.25/13,107.42
  6. Step 6: Final answer
    x = 17,145.32

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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.