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Finding the Fourth Proportional to 17,522.58, 24,180.78 and 9,564.94

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Solution

The fourth proportional to 17,522.58, 24,180.78 and 9,564.94 is: 13,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.58 : 24,180.78 = 9,564.94 : x
  2. Step 2: Convert to fraction form
    17,522.58/24,180.78 = 9,564.94/x
  3. Step 3: Cross multiply
    17,522.58x = 24,180.78 × 9,564.94
  4. Step 4: Simplify right side
    17,522.58x = 231,287,649.40
  5. Step 5: Solve for x
    x = 231,287,649.40/17,522.58
  6. Step 6: Final answer
    x = 13,199.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.