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Finding the Fourth Proportional to 12,202, 18,292.14 and 4,409.08

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Solution

The fourth proportional to 12,202, 18,292.14 and 4,409.08 is: 6,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202 : 18,292.14 = 4,409.08 : x
  2. Step 2: Convert to fraction form
    12,202/18,292.14 = 4,409.08/x
  3. Step 3: Cross multiply
    12,202x = 18,292.14 × 4,409.08
  4. Step 4: Simplify right side
    12,202x = 80,651,508.63
  5. Step 5: Solve for x
    x = 80,651,508.63/12,202
  6. Step 6: Final answer
    x = 6,609.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.