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Finding the Fourth Proportional to 19,709.63, 29,548.75 and 11,380.20

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Solution

The fourth proportional to 19,709.63, 29,548.75 and 11,380.20 is: 17,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.63 : 29,548.75 = 11,380.20 : x
  2. Step 2: Convert to fraction form
    19,709.63/29,548.75 = 11,380.20/x
  3. Step 3: Cross multiply
    19,709.63x = 29,548.75 × 11,380.20
  4. Step 4: Simplify right side
    19,709.63x = 336,270,627.85
  5. Step 5: Solve for x
    x = 336,270,627.85/19,709.63
  6. Step 6: Final answer
    x = 17,061.23

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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.