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Finding the Fourth Proportional to 23,771.54, 32,808.15 and 13,698.05

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Solution

The fourth proportional to 23,771.54, 32,808.15 and 13,698.05 is: 18,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.54 : 32,808.15 = 13,698.05 : x
  2. Step 2: Convert to fraction form
    23,771.54/32,808.15 = 13,698.05/x
  3. Step 3: Cross multiply
    23,771.54x = 32,808.15 × 13,698.05
  4. Step 4: Simplify right side
    23,771.54x = 449,407,679.11
  5. Step 5: Solve for x
    x = 449,407,679.11/23,771.54
  6. Step 6: Final answer
    x = 18,905.28

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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.