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Finding the Fourth Proportional to 13,180.52, 18,189.38 and 7,875.34

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Solution

The fourth proportional to 13,180.52, 18,189.38 and 7,875.34 is: 10,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.52 : 18,189.38 = 7,875.34 : x
  2. Step 2: Convert to fraction form
    13,180.52/18,189.38 = 7,875.34/x
  3. Step 3: Cross multiply
    13,180.52x = 18,189.38 × 7,875.34
  4. Step 4: Simplify right side
    13,180.52x = 143,247,551.89
  5. Step 5: Solve for x
    x = 143,247,551.89/13,180.52
  6. Step 6: Final answer
    x = 10,868.13

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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.