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Finding the Fourth Proportional to 23,802.84, 32,847.36 and 13,731.30

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Solution

The fourth proportional to 23,802.84, 32,847.36 and 13,731.30 is: 18,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.84 : 32,847.36 = 13,731.30 : x
  2. Step 2: Convert to fraction form
    23,802.84/32,847.36 = 13,731.30/x
  3. Step 3: Cross multiply
    23,802.84x = 32,847.36 × 13,731.30
  4. Step 4: Simplify right side
    23,802.84x = 451,036,954.37
  5. Step 5: Solve for x
    x = 451,036,954.37/23,802.84
  6. Step 6: Final answer
    x = 18,948.87

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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.