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Finding the Fourth Proportional to 11,832.95, 17,749.36 and 2,948.24

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Solution

The fourth proportional to 11,832.95, 17,749.36 and 2,948.24 is: 4,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.95 : 17,749.36 = 2,948.24 : x
  2. Step 2: Convert to fraction form
    11,832.95/17,749.36 = 2,948.24/x
  3. Step 3: Cross multiply
    11,832.95x = 17,749.36 × 2,948.24
  4. Step 4: Simplify right side
    11,832.95x = 52,329,373.13
  5. Step 5: Solve for x
    x = 52,329,373.13/11,832.95
  6. Step 6: Final answer
    x = 4,422.34

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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.