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Finding the Fourth Proportional to 13,974.08, 19,287.48 and 8,009.12

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Solution

The fourth proportional to 13,974.08, 19,287.48 and 8,009.12 is: 11,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.08 : 19,287.48 = 8,009.12 : x
  2. Step 2: Convert to fraction form
    13,974.08/19,287.48 = 8,009.12/x
  3. Step 3: Cross multiply
    13,974.08x = 19,287.48 × 8,009.12
  4. Step 4: Simplify right side
    13,974.08x = 154,475,741.82
  5. Step 5: Solve for x
    x = 154,475,741.82/13,974.08
  6. Step 6: Final answer
    x = 11,054.45

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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.