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Finding the Fourth Proportional to 22,718.46, 31,349.90 and 14,220.21

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Solution

The fourth proportional to 22,718.46, 31,349.90 and 14,220.21 is: 19,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.46 : 31,349.90 = 14,220.21 : x
  2. Step 2: Convert to fraction form
    22,718.46/31,349.90 = 14,220.21/x
  3. Step 3: Cross multiply
    22,718.46x = 31,349.90 × 14,220.21
  4. Step 4: Simplify right side
    22,718.46x = 445,802,090.38
  5. Step 5: Solve for x
    x = 445,802,090.38/22,718.46
  6. Step 6: Final answer
    x = 19,622.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.