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Finding the Fourth Proportional to 23,146.95, 34,698.56 and 8,351.90

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Solution

The fourth proportional to 23,146.95, 34,698.56 and 8,351.90 is: 12,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.95 : 34,698.56 = 8,351.90 : x
  2. Step 2: Convert to fraction form
    23,146.95/34,698.56 = 8,351.90/x
  3. Step 3: Cross multiply
    23,146.95x = 34,698.56 × 8,351.90
  4. Step 4: Simplify right side
    23,146.95x = 289,798,903.26
  5. Step 5: Solve for x
    x = 289,798,903.26/23,146.95
  6. Step 6: Final answer
    x = 12,519.96

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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.