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Finding the Fourth Proportional to 23,141.78, 34,705.49 and 8,348.77

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Solution

The fourth proportional to 23,141.78, 34,705.49 and 8,348.77 is: 12,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.78 : 34,705.49 = 8,348.77 : x
  2. Step 2: Convert to fraction form
    23,141.78/34,705.49 = 8,348.77/x
  3. Step 3: Cross multiply
    23,141.78x = 34,705.49 × 8,348.77
  4. Step 4: Simplify right side
    23,141.78x = 289,748,178.87
  5. Step 5: Solve for x
    x = 289,748,178.87/23,141.78
  6. Step 6: Final answer
    x = 12,520.57

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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.