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Finding the Fourth Proportional to 22,677.60, 33,981.72 and 9,522.76

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Solution

The fourth proportional to 22,677.60, 33,981.72 and 9,522.76 is: 14,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.60 : 33,981.72 = 9,522.76 : x
  2. Step 2: Convert to fraction form
    22,677.60/33,981.72 = 9,522.76/x
  3. Step 3: Cross multiply
    22,677.60x = 33,981.72 × 9,522.76
  4. Step 4: Simplify right side
    22,677.60x = 323,599,763.95
  5. Step 5: Solve for x
    x = 323,599,763.95/22,677.60
  6. Step 6: Final answer
    x = 14,269.58

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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.