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Finding the Fourth Proportional to 14,821.20, 22,214.20 and 7,423.44

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Solution

The fourth proportional to 14,821.20, 22,214.20 and 7,423.44 is: 11,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.20 : 22,214.20 = 7,423.44 : x
  2. Step 2: Convert to fraction form
    14,821.20/22,214.20 = 7,423.44/x
  3. Step 3: Cross multiply
    14,821.20x = 22,214.20 × 7,423.44
  4. Step 4: Simplify right side
    14,821.20x = 164,905,780.85
  5. Step 5: Solve for x
    x = 164,905,780.85/14,821.20
  6. Step 6: Final answer
    x = 11,126.34

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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.