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Finding the Fourth Proportional to 23,823.76, 32,874.10 and 14,744.98

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Solution

The fourth proportional to 23,823.76, 32,874.10 and 14,744.98 is: 20,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.76 : 32,874.10 = 14,744.98 : x
  2. Step 2: Convert to fraction form
    23,823.76/32,874.10 = 14,744.98/x
  3. Step 3: Cross multiply
    23,823.76x = 32,874.10 × 14,744.98
  4. Step 4: Simplify right side
    23,823.76x = 484,727,947.02
  5. Step 5: Solve for x
    x = 484,727,947.02/23,823.76
  6. Step 6: Final answer
    x = 20,346.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.