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Finding the Fourth Proportional to 19,659.90, 29,490.57 and 6,513.42

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Solution

The fourth proportional to 19,659.90, 29,490.57 and 6,513.42 is: 9,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.90 : 29,490.57 = 6,513.42 : x
  2. Step 2: Convert to fraction form
    19,659.90/29,490.57 = 6,513.42/x
  3. Step 3: Cross multiply
    19,659.90x = 29,490.57 × 6,513.42
  4. Step 4: Simplify right side
    19,659.90x = 192,084,468.45
  5. Step 5: Solve for x
    x = 192,084,468.45/19,659.90
  6. Step 6: Final answer
    x = 9,770.37

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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.