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Finding the Fourth Proportional to 24,146.25, 36,219.20 and 7,506.25

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Solution

The fourth proportional to 24,146.25, 36,219.20 and 7,506.25 is: 11,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.25 : 36,219.20 = 7,506.25 : x
  2. Step 2: Convert to fraction form
    24,146.25/36,219.20 = 7,506.25/x
  3. Step 3: Cross multiply
    24,146.25x = 36,219.20 × 7,506.25
  4. Step 4: Simplify right side
    24,146.25x = 271,870,487.88
  5. Step 5: Solve for x
    x = 271,870,487.88/24,146.25
  6. Step 6: Final answer
    x = 11,259.33

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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.