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Finding the Fourth Proportional to 19,620.16, 29,430 and 9,224.56

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Solution

The fourth proportional to 19,620.16, 29,430 and 9,224.56 is: 13,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,620.16 : 29,430 = 9,224.56 : x
  2. Step 2: Convert to fraction form
    19,620.16/29,430 = 9,224.56/x
  3. Step 3: Cross multiply
    19,620.16x = 29,430 × 9,224.56
  4. Step 4: Simplify right side
    19,620.16x = 271,478,800.80
  5. Step 5: Solve for x
    x = 271,478,800.80/19,620.16
  6. Step 6: Final answer
    x = 13,836.73

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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.