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Finding the Fourth Proportional to 22,379.34, 33,575.68 and 9,232.50

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Solution

The fourth proportional to 22,379.34, 33,575.68 and 9,232.50 is: 13,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,379.34 : 33,575.68 = 9,232.50 : x
  2. Step 2: Convert to fraction form
    22,379.34/33,575.68 = 9,232.50/x
  3. Step 3: Cross multiply
    22,379.34x = 33,575.68 × 9,232.50
  4. Step 4: Simplify right side
    22,379.34x = 309,987,465.60
  5. Step 5: Solve for x
    x = 309,987,465.60/22,379.34
  6. Step 6: Final answer
    x = 13,851.50

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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.