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Finding the Fourth Proportional to 14,141.40, 21,212.10 and 13,412.40

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Solution

The fourth proportional to 14,141.40, 21,212.10 and 13,412.40 is: 20,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.40 : 21,212.10 = 13,412.40 : x
  2. Step 2: Convert to fraction form
    14,141.40/21,212.10 = 13,412.40/x
  3. Step 3: Cross multiply
    14,141.40x = 21,212.10 × 13,412.40
  4. Step 4: Simplify right side
    14,141.40x = 284,505,170.04
  5. Step 5: Solve for x
    x = 284,505,170.04/14,141.40
  6. Step 6: Final answer
    x = 20,118.60

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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.