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Finding the Fourth Proportional to 22,977.60, 31,709.09 and 12,906.06

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Solution

The fourth proportional to 22,977.60, 31,709.09 and 12,906.06 is: 17,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.60 : 31,709.09 = 12,906.06 : x
  2. Step 2: Convert to fraction form
    22,977.60/31,709.09 = 12,906.06/x
  3. Step 3: Cross multiply
    22,977.60x = 31,709.09 × 12,906.06
  4. Step 4: Simplify right side
    22,977.60x = 409,239,418.09
  5. Step 5: Solve for x
    x = 409,239,418.09/22,977.60
  6. Step 6: Final answer
    x = 17,810.36

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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.