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Finding the Fourth Proportional to 23,840.89, 32,892.83 and 13,768

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Solution

The fourth proportional to 23,840.89, 32,892.83 and 13,768 is: 18,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.89 : 32,892.83 = 13,768 : x
  2. Step 2: Convert to fraction form
    23,840.89/32,892.83 = 13,768/x
  3. Step 3: Cross multiply
    23,840.89x = 32,892.83 × 13,768
  4. Step 4: Simplify right side
    23,840.89x = 452,868,414.60
  5. Step 5: Solve for x
    x = 452,868,414.60/23,840.89
  6. Step 6: Final answer
    x = 18,995.45

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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.