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Finding the Fourth Proportional to 22,381.50, 33,577.14 and 8,530.50

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Solution

The fourth proportional to 22,381.50, 33,577.14 and 8,530.50 is: 12,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.50 : 33,577.14 = 8,530.50 : x
  2. Step 2: Convert to fraction form
    22,381.50/33,577.14 = 8,530.50/x
  3. Step 3: Cross multiply
    22,381.50x = 33,577.14 × 8,530.50
  4. Step 4: Simplify right side
    22,381.50x = 286,429,792.77
  5. Step 5: Solve for x
    x = 286,429,792.77/22,381.50
  6. Step 6: Final answer
    x = 12,797.61

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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.