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Finding the Fourth Proportional to 17,522.60, 24,181.26 and 9,565

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Solution

The fourth proportional to 17,522.60, 24,181.26 and 9,565 is: 13,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.60 : 24,181.26 = 9,565 : x
  2. Step 2: Convert to fraction form
    17,522.60/24,181.26 = 9,565/x
  3. Step 3: Cross multiply
    17,522.60x = 24,181.26 × 9,565
  4. Step 4: Simplify right side
    17,522.60x = 231,293,751.90
  5. Step 5: Solve for x
    x = 231,293,751.90/17,522.60
  6. Step 6: Final answer
    x = 13,199.74

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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.