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Finding the Fourth Proportional to 19,648.12, 27,111.36 and 11,263

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Solution

The fourth proportional to 19,648.12, 27,111.36 and 11,263 is: 15,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.12 : 27,111.36 = 11,263 : x
  2. Step 2: Convert to fraction form
    19,648.12/27,111.36 = 11,263/x
  3. Step 3: Cross multiply
    19,648.12x = 27,111.36 × 11,263
  4. Step 4: Simplify right side
    19,648.12x = 305,355,247.68
  5. Step 5: Solve for x
    x = 305,355,247.68/19,648.12
  6. Step 6: Final answer
    x = 15,541.19

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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.