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Finding the Fourth Proportional to 23,641.42, 35,470.23 and 8,069.98

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Solution

The fourth proportional to 23,641.42, 35,470.23 and 8,069.98 is: 12,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.42 : 35,470.23 = 8,069.98 : x
  2. Step 2: Convert to fraction form
    23,641.42/35,470.23 = 8,069.98/x
  3. Step 3: Cross multiply
    23,641.42x = 35,470.23 × 8,069.98
  4. Step 4: Simplify right side
    23,641.42x = 286,243,937.84
  5. Step 5: Solve for x
    x = 286,243,937.84/23,641.42
  6. Step 6: Final answer
    x = 12,107.73

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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.