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Finding the Fourth Proportional to 22,372.16, 33,564.48 and 8,522.24

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Solution

The fourth proportional to 22,372.16, 33,564.48 and 8,522.24 is: 12,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372.16 : 33,564.48 = 8,522.24 : x
  2. Step 2: Convert to fraction form
    22,372.16/33,564.48 = 8,522.24/x
  3. Step 3: Cross multiply
    22,372.16x = 33,564.48 × 8,522.24
  4. Step 4: Simplify right side
    22,372.16x = 286,044,554.04
  5. Step 5: Solve for x
    x = 286,044,554.04/22,372.16
  6. Step 6: Final answer
    x = 12,785.74

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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.