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Finding the Fourth Proportional to 14,609.14, 21,886.16 and 7,204.92

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Solution

The fourth proportional to 14,609.14, 21,886.16 and 7,204.92 is: 10,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.14 : 21,886.16 = 7,204.92 : x
  2. Step 2: Convert to fraction form
    14,609.14/21,886.16 = 7,204.92/x
  3. Step 3: Cross multiply
    14,609.14x = 21,886.16 × 7,204.92
  4. Step 4: Simplify right side
    14,609.14x = 157,688,031.91
  5. Step 5: Solve for x
    x = 157,688,031.91/14,609.14
  6. Step 6: Final answer
    x = 10,793.79

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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.