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Finding the Fourth Proportional to 12,846.36, 17,728.56 and 10,047

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Solution

The fourth proportional to 12,846.36, 17,728.56 and 10,047 is: 13,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.36 : 17,728.56 = 10,047 : x
  2. Step 2: Convert to fraction form
    12,846.36/17,728.56 = 10,047/x
  3. Step 3: Cross multiply
    12,846.36x = 17,728.56 × 10,047
  4. Step 4: Simplify right side
    12,846.36x = 178,118,842.32
  5. Step 5: Solve for x
    x = 178,118,842.32/12,846.36
  6. Step 6: Final answer
    x = 13,865.32

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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.