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Finding the Fourth Proportional to 19,832.12, 27,368.10 and 11,448.44

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Solution

The fourth proportional to 19,832.12, 27,368.10 and 11,448.44 is: 15,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.12 : 27,368.10 = 11,448.44 : x
  2. Step 2: Convert to fraction form
    19,832.12/27,368.10 = 11,448.44/x
  3. Step 3: Cross multiply
    19,832.12x = 27,368.10 × 11,448.44
  4. Step 4: Simplify right side
    19,832.12x = 313,322,050.76
  5. Step 5: Solve for x
    x = 313,322,050.76/19,832.12
  6. Step 6: Final answer
    x = 15,798.72

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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.