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Finding the Fourth Proportional to 19,741.56, 29,624 and 7,270.34

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Solution

The fourth proportional to 19,741.56, 29,624 and 7,270.34 is: 10,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,741.56 : 29,624 = 7,270.34 : x
  2. Step 2: Convert to fraction form
    19,741.56/29,624 = 7,270.34/x
  3. Step 3: Cross multiply
    19,741.56x = 29,624 × 7,270.34
  4. Step 4: Simplify right side
    19,741.56x = 215,376,552.16
  5. Step 5: Solve for x
    x = 215,376,552.16/19,741.56
  6. Step 6: Final answer
    x = 10,909.80

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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.