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Finding the Fourth Proportional to 14,914.30, 22,381.80 and 11,224.30

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Solution

The fourth proportional to 14,914.30, 22,381.80 and 11,224.30 is: 16,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.30 : 22,381.80 = 11,224.30 : x
  2. Step 2: Convert to fraction form
    14,914.30/22,381.80 = 11,224.30/x
  3. Step 3: Cross multiply
    14,914.30x = 22,381.80 × 11,224.30
  4. Step 4: Simplify right side
    14,914.30x = 251,220,037.74
  5. Step 5: Solve for x
    x = 251,220,037.74/14,914.30
  6. Step 6: Final answer
    x = 16,844.24

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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.