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Finding the Fourth Proportional to 13,442.94, 18,550.38 and 7,474.45

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Solution

The fourth proportional to 13,442.94, 18,550.38 and 7,474.45 is: 10,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.94 : 18,550.38 = 7,474.45 : x
  2. Step 2: Convert to fraction form
    13,442.94/18,550.38 = 7,474.45/x
  3. Step 3: Cross multiply
    13,442.94x = 18,550.38 × 7,474.45
  4. Step 4: Simplify right side
    13,442.94x = 138,653,887.79
  5. Step 5: Solve for x
    x = 138,653,887.79/13,442.94
  6. Step 6: Final answer
    x = 10,314.25

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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.