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Finding the Fourth Proportional to 16,227.70, 24,224.16 and 14,259.40

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Solution

The fourth proportional to 16,227.70, 24,224.16 and 14,259.40 is: 21,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.70 : 24,224.16 = 14,259.40 : x
  2. Step 2: Convert to fraction form
    16,227.70/24,224.16 = 14,259.40/x
  3. Step 3: Cross multiply
    16,227.70x = 24,224.16 × 14,259.40
  4. Step 4: Simplify right side
    16,227.70x = 345,421,987.10
  5. Step 5: Solve for x
    x = 345,421,987.10/16,227.70
  6. Step 6: Final answer
    x = 21,285.95

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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.