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Finding the Fourth Proportional to 24,794.81, 37,184.31 and 8,151.02

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Solution

The fourth proportional to 24,794.81, 37,184.31 and 8,151.02 is: 12,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.81 : 37,184.31 = 8,151.02 : x
  2. Step 2: Convert to fraction form
    24,794.81/37,184.31 = 8,151.02/x
  3. Step 3: Cross multiply
    24,794.81x = 37,184.31 × 8,151.02
  4. Step 4: Simplify right side
    24,794.81x = 303,089,868.57
  5. Step 5: Solve for x
    x = 303,089,868.57/24,794.81
  6. Step 6: Final answer
    x = 12,223.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.