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Finding the Fourth Proportional to 22,902.27, 31,604.74 and 12,830.64

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Solution

The fourth proportional to 22,902.27, 31,604.74 and 12,830.64 is: 17,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.27 : 31,604.74 = 12,830.64 : x
  2. Step 2: Convert to fraction form
    22,902.27/31,604.74 = 12,830.64/x
  3. Step 3: Cross multiply
    22,902.27x = 31,604.74 × 12,830.64
  4. Step 4: Simplify right side
    22,902.27x = 405,509,041.23
  5. Step 5: Solve for x
    x = 405,509,041.23/22,902.27
  6. Step 6: Final answer
    x = 17,706.06

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