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Finding the Fourth Proportional to 24,811.94, 37,223.04 and 8,172.99

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Solution

The fourth proportional to 24,811.94, 37,223.04 and 8,172.99 is: 12,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811.94 : 37,223.04 = 8,172.99 : x
  2. Step 2: Convert to fraction form
    24,811.94/37,223.04 = 8,172.99/x
  3. Step 3: Cross multiply
    24,811.94x = 37,223.04 × 8,172.99
  4. Step 4: Simplify right side
    24,811.94x = 304,223,533.69
  5. Step 5: Solve for x
    x = 304,223,533.69/24,811.94
  6. Step 6: Final answer
    x = 12,261.18

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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.