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Finding the Fourth Proportional to 17,522.67, 24,181.83 and 9,970.10

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Solution

The fourth proportional to 17,522.67, 24,181.83 and 9,970.10 is: 13,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.67 : 24,181.83 = 9,970.10 : x
  2. Step 2: Convert to fraction form
    17,522.67/24,181.83 = 9,970.10/x
  3. Step 3: Cross multiply
    17,522.67x = 24,181.83 × 9,970.10
  4. Step 4: Simplify right side
    17,522.67x = 241,095,142.37
  5. Step 5: Solve for x
    x = 241,095,142.37/17,522.67
  6. Step 6: Final answer
    x = 13,759.04

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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.