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Finding the Fourth Proportional to 22,310.64, 33,465 and 5,671.36

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Solution

The fourth proportional to 22,310.64, 33,465 and 5,671.36 is: 8,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.64 : 33,465 = 5,671.36 : x
  2. Step 2: Convert to fraction form
    22,310.64/33,465 = 5,671.36/x
  3. Step 3: Cross multiply
    22,310.64x = 33,465 × 5,671.36
  4. Step 4: Simplify right side
    22,310.64x = 189,792,062.40
  5. Step 5: Solve for x
    x = 189,792,062.40/22,310.64
  6. Step 6: Final answer
    x = 8,506.80

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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.