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Finding the Fourth Proportional to 23,092.86, 34,632 and 9,941.70

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Solution

The fourth proportional to 23,092.86, 34,632 and 9,941.70 is: 14,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.86 : 34,632 = 9,941.70 : x
  2. Step 2: Convert to fraction form
    23,092.86/34,632 = 9,941.70/x
  3. Step 3: Cross multiply
    23,092.86x = 34,632 × 9,941.70
  4. Step 4: Simplify right side
    23,092.86x = 344,300,954.40
  5. Step 5: Solve for x
    x = 344,300,954.40/23,092.86
  6. Step 6: Final answer
    x = 14,909.41

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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.