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Finding the Fourth Proportional to 12,367.20, 17,054.64 and 10,264.80

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Solution

The fourth proportional to 12,367.20, 17,054.64 and 10,264.80 is: 14,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.20 : 17,054.64 = 10,264.80 : x
  2. Step 2: Convert to fraction form
    12,367.20/17,054.64 = 10,264.80/x
  3. Step 3: Cross multiply
    12,367.20x = 17,054.64 × 10,264.80
  4. Step 4: Simplify right side
    12,367.20x = 175,062,468.67
  5. Step 5: Solve for x
    x = 175,062,468.67/12,367.20
  6. Step 6: Final answer
    x = 14,155.38

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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.