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Finding the Fourth Proportional to 20,709.84, 30,914.61 and 19,168.14

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Solution

The fourth proportional to 20,709.84, 30,914.61 and 19,168.14 is: 28,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.84 : 30,914.61 = 19,168.14 : x
  2. Step 2: Convert to fraction form
    20,709.84/30,914.61 = 19,168.14/x
  3. Step 3: Cross multiply
    20,709.84x = 30,914.61 × 19,168.14
  4. Step 4: Simplify right side
    20,709.84x = 592,575,572.53
  5. Step 5: Solve for x
    x = 592,575,572.53/20,709.84
  6. Step 6: Final answer
    x = 28,613.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.