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Finding the Fourth Proportional to 24,820.50, 37,230.96 and 7,290.60

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Solution

The fourth proportional to 24,820.50, 37,230.96 and 7,290.60 is: 10,935.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.50 : 37,230.96 = 7,290.60 : x
  2. Step 2: Convert to fraction form
    24,820.50/37,230.96 = 7,290.60/x
  3. Step 3: Cross multiply
    24,820.50x = 37,230.96 × 7,290.60
  4. Step 4: Simplify right side
    24,820.50x = 271,436,036.98
  5. Step 5: Solve for x
    x = 271,436,036.98/24,820.50
  6. Step 6: Final answer
    x = 10,935.96

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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.