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Finding the Fourth Proportional to 23,422.46, 35,135.54 and 6,782.76

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Solution

The fourth proportional to 23,422.46, 35,135.54 and 6,782.76 is: 10,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.46 : 35,135.54 = 6,782.76 : x
  2. Step 2: Convert to fraction form
    23,422.46/35,135.54 = 6,782.76/x
  3. Step 3: Cross multiply
    23,422.46x = 35,135.54 × 6,782.76
  4. Step 4: Simplify right side
    23,422.46x = 238,315,935.29
  5. Step 5: Solve for x
    x = 238,315,935.29/23,422.46
  6. Step 6: Final answer
    x = 10,174.68

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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.