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Finding the Fourth Proportional to 22,520.64, 33,746.40 and 9,361.92

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Solution

The fourth proportional to 22,520.64, 33,746.40 and 9,361.92 is: 14,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.64 : 33,746.40 = 9,361.92 : x
  2. Step 2: Convert to fraction form
    22,520.64/33,746.40 = 9,361.92/x
  3. Step 3: Cross multiply
    22,520.64x = 33,746.40 × 9,361.92
  4. Step 4: Simplify right side
    22,520.64x = 315,931,097.09
  5. Step 5: Solve for x
    x = 315,931,097.09/22,520.64
  6. Step 6: Final answer
    x = 14,028.51

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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.