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Finding the Fourth Proportional to 13,442.38, 18,549.60 and 7,473.83

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Solution

The fourth proportional to 13,442.38, 18,549.60 and 7,473.83 is: 10,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.38 : 18,549.60 = 7,473.83 : x
  2. Step 2: Convert to fraction form
    13,442.38/18,549.60 = 7,473.83/x
  3. Step 3: Cross multiply
    13,442.38x = 18,549.60 × 7,473.83
  4. Step 4: Simplify right side
    13,442.38x = 138,636,464.22
  5. Step 5: Solve for x
    x = 138,636,464.22/13,442.38
  6. Step 6: Final answer
    x = 10,313.39

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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.