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Finding the Fourth Proportional to 23,117, 31,967.07 and 22,072.71

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Solution

The fourth proportional to 23,117, 31,967.07 and 22,072.71 is: 30,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117 : 31,967.07 = 22,072.71 : x
  2. Step 2: Convert to fraction form
    23,117/31,967.07 = 22,072.71/x
  3. Step 3: Cross multiply
    23,117x = 31,967.07 × 22,072.71
  4. Step 4: Simplify right side
    23,117x = 705,599,865.66
  5. Step 5: Solve for x
    x = 705,599,865.66/23,117
  6. Step 6: Final answer
    x = 30,522.99

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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.