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Finding the Fourth Proportional to 12,264, 18,366.72 and 7,058.94

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Solution

The fourth proportional to 12,264, 18,366.72 and 7,058.94 is: 10,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264 : 18,366.72 = 7,058.94 : x
  2. Step 2: Convert to fraction form
    12,264/18,366.72 = 7,058.94/x
  3. Step 3: Cross multiply
    12,264x = 18,366.72 × 7,058.94
  4. Step 4: Simplify right side
    12,264x = 129,649,574.48
  5. Step 5: Solve for x
    x = 129,649,574.48/12,264
  6. Step 6: Final answer
    x = 10,571.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.