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Finding the Fourth Proportional to 14,654.84, 20,192.14 and 9,930.84

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Solution

The fourth proportional to 14,654.84, 20,192.14 and 9,930.84 is: 13,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.84 : 20,192.14 = 9,930.84 : x
  2. Step 2: Convert to fraction form
    14,654.84/20,192.14 = 9,930.84/x
  3. Step 3: Cross multiply
    14,654.84x = 20,192.14 × 9,930.84
  4. Step 4: Simplify right side
    14,654.84x = 200,524,911.60
  5. Step 5: Solve for x
    x = 200,524,911.60/14,654.84
  6. Step 6: Final answer
    x = 13,683.19

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1.5x scale

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.