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Finding the Fourth Proportional to 24,430.96, 36,647.79 and 6,902.29

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Solution

The fourth proportional to 24,430.96, 36,647.79 and 6,902.29 is: 10,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.96 : 36,647.79 = 6,902.29 : x
  2. Step 2: Convert to fraction form
    24,430.96/36,647.79 = 6,902.29/x
  3. Step 3: Cross multiply
    24,430.96x = 36,647.79 × 6,902.29
  4. Step 4: Simplify right side
    24,430.96x = 252,953,674.44
  5. Step 5: Solve for x
    x = 252,953,674.44/24,430.96
  6. Step 6: Final answer
    x = 10,353.82

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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.