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Finding the Fourth Proportional to 12,892.44, 19,346.13 and 6,969.36

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Solution

The fourth proportional to 12,892.44, 19,346.13 and 6,969.36 is: 10,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.44 : 19,346.13 = 6,969.36 : x
  2. Step 2: Convert to fraction form
    12,892.44/19,346.13 = 6,969.36/x
  3. Step 3: Cross multiply
    12,892.44x = 19,346.13 × 6,969.36
  4. Step 4: Simplify right side
    12,892.44x = 134,830,144.58
  5. Step 5: Solve for x
    x = 134,830,144.58/12,892.44
  6. Step 6: Final answer
    x = 10,458.08

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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.