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Finding the Fourth Proportional to 23,821.50, 35,713.80 and 13,810.85

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Solution

The fourth proportional to 23,821.50, 35,713.80 and 13,810.85 is: 20,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.50 : 35,713.80 = 13,810.85 : x
  2. Step 2: Convert to fraction form
    23,821.50/35,713.80 = 13,810.85/x
  3. Step 3: Cross multiply
    23,821.50x = 35,713.80 × 13,810.85
  4. Step 4: Simplify right side
    23,821.50x = 493,237,801.86
  5. Step 5: Solve for x
    x = 493,237,801.86/23,821.50
  6. Step 6: Final answer
    x = 20,705.57

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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.