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Finding the Fourth Proportional to 18,409.14, 27,613.71 and 5,261.50

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Solution

The fourth proportional to 18,409.14, 27,613.71 and 5,261.50 is: 7,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409.14 : 27,613.71 = 5,261.50 : x
  2. Step 2: Convert to fraction form
    18,409.14/27,613.71 = 5,261.50/x
  3. Step 3: Cross multiply
    18,409.14x = 27,613.71 × 5,261.50
  4. Step 4: Simplify right side
    18,409.14x = 145,289,535.17
  5. Step 5: Solve for x
    x = 145,289,535.17/18,409.14
  6. Step 6: Final answer
    x = 7,892.25

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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.