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Finding the Fourth Proportional to 14,423.20, 21,634.80 and 8,180.80

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Solution

The fourth proportional to 14,423.20, 21,634.80 and 8,180.80 is: 12,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.20 : 21,634.80 = 8,180.80 : x
  2. Step 2: Convert to fraction form
    14,423.20/21,634.80 = 8,180.80/x
  3. Step 3: Cross multiply
    14,423.20x = 21,634.80 × 8,180.80
  4. Step 4: Simplify right side
    14,423.20x = 176,989,971.84
  5. Step 5: Solve for x
    x = 176,989,971.84/14,423.20
  6. Step 6: Final answer
    x = 12,271.20

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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.