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Finding the Fourth Proportional to 19,735.36, 29,605.03 and 6,407.80

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Solution

The fourth proportional to 19,735.36, 29,605.03 and 6,407.80 is: 9,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.36 : 29,605.03 = 6,407.80 : x
  2. Step 2: Convert to fraction form
    19,735.36/29,605.03 = 6,407.80/x
  3. Step 3: Cross multiply
    19,735.36x = 29,605.03 × 6,407.80
  4. Step 4: Simplify right side
    19,735.36x = 189,703,021.20
  5. Step 5: Solve for x
    x = 189,703,021.20/19,735.36
  6. Step 6: Final answer
    x = 9,612.34

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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.