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Finding the Fourth Proportional to 22,469.76, 30,980.34 and 17,156.16

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Solution

The fourth proportional to 22,469.76, 30,980.34 and 17,156.16 is: 23,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.76 : 30,980.34 = 17,156.16 : x
  2. Step 2: Convert to fraction form
    22,469.76/30,980.34 = 17,156.16/x
  3. Step 3: Cross multiply
    22,469.76x = 30,980.34 × 17,156.16
  4. Step 4: Simplify right side
    22,469.76x = 531,503,669.89
  5. Step 5: Solve for x
    x = 531,503,669.89/22,469.76
  6. Step 6: Final answer
    x = 23,654.18

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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.