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Finding the Fourth Proportional to 23,786, 32,824.68 and 13,850

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Solution

The fourth proportional to 23,786, 32,824.68 and 13,850 is: 19,113

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786 : 32,824.68 = 13,850 : x
  2. Step 2: Convert to fraction form
    23,786/32,824.68 = 13,850/x
  3. Step 3: Cross multiply
    23,786x = 32,824.68 × 13,850
  4. Step 4: Simplify right side
    23,786x = 454,621,818
  5. Step 5: Solve for x
    x = 454,621,818/23,786
  6. Step 6: Final answer
    x = 19,113

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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.