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Finding the Fourth Proportional to 23,219.46, 34,825.95 and 7,635.06

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Solution

The fourth proportional to 23,219.46, 34,825.95 and 7,635.06 is: 11,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.46 : 34,825.95 = 7,635.06 : x
  2. Step 2: Convert to fraction form
    23,219.46/34,825.95 = 7,635.06/x
  3. Step 3: Cross multiply
    23,219.46x = 34,825.95 × 7,635.06
  4. Step 4: Simplify right side
    23,219.46x = 265,898,217.81
  5. Step 5: Solve for x
    x = 265,898,217.81/23,219.46
  6. Step 6: Final answer
    x = 11,451.52

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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.