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Finding the Fourth Proportional to 22,311.76, 33,492.25 and 11,215.47

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Solution

The fourth proportional to 22,311.76, 33,492.25 and 11,215.47 is: 16,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.76 : 33,492.25 = 11,215.47 : x
  2. Step 2: Convert to fraction form
    22,311.76/33,492.25 = 11,215.47/x
  3. Step 3: Cross multiply
    22,311.76x = 33,492.25 × 11,215.47
  4. Step 4: Simplify right side
    22,311.76x = 375,631,325.11
  5. Step 5: Solve for x
    x = 375,631,325.11/22,311.76
  6. Step 6: Final answer
    x = 16,835.58

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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.