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Finding the Fourth Proportional to 21,225.78, 31,836.83 and 7,185.50

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Solution

The fourth proportional to 21,225.78, 31,836.83 and 7,185.50 is: 10,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,225.78 : 31,836.83 = 7,185.50 : x
  2. Step 2: Convert to fraction form
    21,225.78/31,836.83 = 7,185.50/x
  3. Step 3: Cross multiply
    21,225.78x = 31,836.83 × 7,185.50
  4. Step 4: Simplify right side
    21,225.78x = 228,763,466.24
  5. Step 5: Solve for x
    x = 228,763,466.24/21,225.78
  6. Step 6: Final answer
    x = 10,777.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.