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Finding the Fourth Proportional to 19,608.60, 29,401.56 and 6,457.44

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Solution

The fourth proportional to 19,608.60, 29,401.56 and 6,457.44 is: 9,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.60 : 29,401.56 = 6,457.44 : x
  2. Step 2: Convert to fraction form
    19,608.60/29,401.56 = 6,457.44/x
  3. Step 3: Cross multiply
    19,608.60x = 29,401.56 × 6,457.44
  4. Step 4: Simplify right side
    19,608.60x = 189,858,809.61
  5. Step 5: Solve for x
    x = 189,858,809.61/19,608.60
  6. Step 6: Final answer
    x = 9,682.43

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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.