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Finding the Fourth Proportional to 20,404.84, 30,607.21 and 11,516.14

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Solution

The fourth proportional to 20,404.84, 30,607.21 and 11,516.14 is: 17,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404.84 : 30,607.21 = 11,516.14 : x
  2. Step 2: Convert to fraction form
    20,404.84/30,607.21 = 11,516.14/x
  3. Step 3: Cross multiply
    20,404.84x = 30,607.21 × 11,516.14
  4. Step 4: Simplify right side
    20,404.84x = 352,476,810.06
  5. Step 5: Solve for x
    x = 352,476,810.06/20,404.84
  6. Step 6: Final answer
    x = 17,274.18

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1.5x scale

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.