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Finding the Fourth Proportional to 13,148.57, 18,145.59 and 7,180.49

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Solution

The fourth proportional to 13,148.57, 18,145.59 and 7,180.49 is: 9,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.57 : 18,145.59 = 7,180.49 : x
  2. Step 2: Convert to fraction form
    13,148.57/18,145.59 = 7,180.49/x
  3. Step 3: Cross multiply
    13,148.57x = 18,145.59 × 7,180.49
  4. Step 4: Simplify right side
    13,148.57x = 130,294,227.54
  5. Step 5: Solve for x
    x = 130,294,227.54/13,148.57
  6. Step 6: Final answer
    x = 9,909.38

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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.