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Finding the Fourth Proportional to 22,532, 33,775.32 and 9,391.64

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Solution

The fourth proportional to 22,532, 33,775.32 and 9,391.64 is: 14,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532 : 33,775.32 = 9,391.64 : x
  2. Step 2: Convert to fraction form
    22,532/33,775.32 = 9,391.64/x
  3. Step 3: Cross multiply
    22,532x = 33,775.32 × 9,391.64
  4. Step 4: Simplify right side
    22,532x = 317,205,646.32
  5. Step 5: Solve for x
    x = 317,205,646.32/22,532
  6. Step 6: Final answer
    x = 14,078.01

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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.