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Finding the Fourth Proportional to 13,093.25, 18,061.66 and 9,107.44

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Solution

The fourth proportional to 13,093.25, 18,061.66 and 9,107.44 is: 12,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.25 : 18,061.66 = 9,107.44 : x
  2. Step 2: Convert to fraction form
    13,093.25/18,061.66 = 9,107.44/x
  3. Step 3: Cross multiply
    13,093.25x = 18,061.66 × 9,107.44
  4. Step 4: Simplify right side
    13,093.25x = 164,495,484.75
  5. Step 5: Solve for x
    x = 164,495,484.75/13,093.25
  6. Step 6: Final answer
    x = 12,563.38

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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.