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Finding the Fourth Proportional to 22,644.64, 33,922.76 and 14,829.76

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Solution

The fourth proportional to 22,644.64, 33,922.76 and 14,829.76 is: 22,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.64 : 33,922.76 = 14,829.76 : x
  2. Step 2: Convert to fraction form
    22,644.64/33,922.76 = 14,829.76/x
  3. Step 3: Cross multiply
    22,644.64x = 33,922.76 × 14,829.76
  4. Step 4: Simplify right side
    22,644.64x = 503,066,389.34
  5. Step 5: Solve for x
    x = 503,066,389.34/22,644.64
  6. Step 6: Final answer
    x = 22,215.69

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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.