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Finding the Fourth Proportional to 24,506.42, 36,759.85 and 6,976.25

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Solution

The fourth proportional to 24,506.42, 36,759.85 and 6,976.25 is: 10,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.42 : 36,759.85 = 6,976.25 : x
  2. Step 2: Convert to fraction form
    24,506.42/36,759.85 = 6,976.25/x
  3. Step 3: Cross multiply
    24,506.42x = 36,759.85 × 6,976.25
  4. Step 4: Simplify right side
    24,506.42x = 256,445,719.76
  5. Step 5: Solve for x
    x = 256,445,719.76/24,506.42
  6. Step 6: Final answer
    x = 10,464.43

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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.