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Finding the Fourth Proportional to 19,454.68, 29,182.64 and 7,608

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Solution

The fourth proportional to 19,454.68, 29,182.64 and 7,608 is: 11,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.68 : 29,182.64 = 7,608 : x
  2. Step 2: Convert to fraction form
    19,454.68/29,182.64 = 7,608/x
  3. Step 3: Cross multiply
    19,454.68x = 29,182.64 × 7,608
  4. Step 4: Simplify right side
    19,454.68x = 222,021,525.12
  5. Step 5: Solve for x
    x = 222,021,525.12/19,454.68
  6. Step 6: Final answer
    x = 11,412.24

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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.