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Finding the Fourth Proportional to 12,967.36, 19,458.58 and 5,470.44

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Solution

The fourth proportional to 12,967.36, 19,458.58 and 5,470.44 is: 8,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.36 : 19,458.58 = 5,470.44 : x
  2. Step 2: Convert to fraction form
    12,967.36/19,458.58 = 5,470.44/x
  3. Step 3: Cross multiply
    12,967.36x = 19,458.58 × 5,470.44
  4. Step 4: Simplify right side
    12,967.36x = 106,446,994.38
  5. Step 5: Solve for x
    x = 106,446,994.38/12,967.36
  6. Step 6: Final answer
    x = 8,208.84

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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.