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Finding the Fourth Proportional to 18,394.94, 27,609.74 and 9,636

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Solution

The fourth proportional to 18,394.94, 27,609.74 and 9,636 is: 14,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,394.94 : 27,609.74 = 9,636 : x
  2. Step 2: Convert to fraction form
    18,394.94/27,609.74 = 9,636/x
  3. Step 3: Cross multiply
    18,394.94x = 27,609.74 × 9,636
  4. Step 4: Simplify right side
    18,394.94x = 266,047,406.46
  5. Step 5: Solve for x
    x = 266,047,406.46/18,394.94
  6. Step 6: Final answer
    x = 14,463.08

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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.