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Finding the Fourth Proportional to 19,441.46, 29,162.13 and 7,762.88

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Solution

The fourth proportional to 19,441.46, 29,162.13 and 7,762.88 is: 11,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441.46 : 29,162.13 = 7,762.88 : x
  2. Step 2: Convert to fraction form
    19,441.46/29,162.13 = 7,762.88/x
  3. Step 3: Cross multiply
    19,441.46x = 29,162.13 × 7,762.88
  4. Step 4: Simplify right side
    19,441.46x = 226,381,969.92
  5. Step 5: Solve for x
    x = 226,381,969.92/19,441.46
  6. Step 6: Final answer
    x = 11,644.29

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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.