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Finding the Fourth Proportional to 12,839.45, 19,256.13 and 8,678.34

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Solution

The fourth proportional to 12,839.45, 19,256.13 and 8,678.34 is: 13,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839.45 : 19,256.13 = 8,678.34 : x
  2. Step 2: Convert to fraction form
    12,839.45/19,256.13 = 8,678.34/x
  3. Step 3: Cross multiply
    12,839.45x = 19,256.13 × 8,678.34
  4. Step 4: Simplify right side
    12,839.45x = 167,111,243.22
  5. Step 5: Solve for x
    x = 167,111,243.22/12,839.45
  6. Step 6: Final answer
    x = 13,015.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.