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Finding the Fourth Proportional to 41,802.94, 62,710.29 and 12,223

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Solution

The fourth proportional to 41,802.94, 62,710.29 and 12,223 is: 18,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,802.94 : 62,710.29 = 12,223 : x
  2. Step 2: Convert to fraction form
    41,802.94/62,710.29 = 12,223/x
  3. Step 3: Cross multiply
    41,802.94x = 62,710.29 × 12,223
  4. Step 4: Simplify right side
    41,802.94x = 766,507,874.67
  5. Step 5: Solve for x
    x = 766,507,874.67/41,802.94
  6. Step 6: Final answer
    x = 18,336.22

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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.