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Finding the Fourth Proportional to 22,980.54, 31,710.62 and 12,906.66

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Solution

The fourth proportional to 22,980.54, 31,710.62 and 12,906.66 is: 17,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.54 : 31,710.62 = 12,906.66 : x
  2. Step 2: Convert to fraction form
    22,980.54/31,710.62 = 12,906.66/x
  3. Step 3: Cross multiply
    22,980.54x = 31,710.62 × 12,906.66
  4. Step 4: Simplify right side
    22,980.54x = 409,278,190.73
  5. Step 5: Solve for x
    x = 409,278,190.73/22,980.54
  6. Step 6: Final answer
    x = 17,809.77

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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.