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Finding the Fourth Proportional to 22,731.09, 31,368.87 and 12,660.41

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Solution

The fourth proportional to 22,731.09, 31,368.87 and 12,660.41 is: 17,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.09 : 31,368.87 = 12,660.41 : x
  2. Step 2: Convert to fraction form
    22,731.09/31,368.87 = 12,660.41/x
  3. Step 3: Cross multiply
    22,731.09x = 31,368.87 × 12,660.41
  4. Step 4: Simplify right side
    22,731.09x = 397,142,598.59
  5. Step 5: Solve for x
    x = 397,142,598.59/22,731.09
  6. Step 6: Final answer
    x = 17,471.34

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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.