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Finding the Fourth Proportional to 13,382.18, 18,468.46 and 7,414.40

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Solution

The fourth proportional to 13,382.18, 18,468.46 and 7,414.40 is: 10,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.18 : 18,468.46 = 7,414.40 : x
  2. Step 2: Convert to fraction form
    13,382.18/18,468.46 = 7,414.40/x
  3. Step 3: Cross multiply
    13,382.18x = 18,468.46 × 7,414.40
  4. Step 4: Simplify right side
    13,382.18x = 136,932,549.82
  5. Step 5: Solve for x
    x = 136,932,549.82/13,382.18
  6. Step 6: Final answer
    x = 10,232.45

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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.