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Finding the Fourth Proportional to 22,492.64, 33,761.70 and 13,150.50

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Solution

The fourth proportional to 22,492.64, 33,761.70 and 13,150.50 is: 19,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.64 : 33,761.70 = 13,150.50 : x
  2. Step 2: Convert to fraction form
    22,492.64/33,761.70 = 13,150.50/x
  3. Step 3: Cross multiply
    22,492.64x = 33,761.70 × 13,150.50
  4. Step 4: Simplify right side
    22,492.64x = 443,983,235.85
  5. Step 5: Solve for x
    x = 443,983,235.85/22,492.64
  6. Step 6: Final answer
    x = 19,739.05

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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.