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Finding the Fourth Proportional to 13,127.46, 18,119.34 and 7,465.52

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Solution

The fourth proportional to 13,127.46, 18,119.34 and 7,465.52 is: 10,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,127.46 : 18,119.34 = 7,465.52 : x
  2. Step 2: Convert to fraction form
    13,127.46/18,119.34 = 7,465.52/x
  3. Step 3: Cross multiply
    13,127.46x = 18,119.34 × 7,465.52
  4. Step 4: Simplify right side
    13,127.46x = 135,270,295.16
  5. Step 5: Solve for x
    x = 135,270,295.16/13,127.46
  6. Step 6: Final answer
    x = 10,304.38

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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.