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Finding the Fourth Proportional to 22,576.88, 31,156.07 and 12,505.32

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Solution

The fourth proportional to 22,576.88, 31,156.07 and 12,505.32 is: 17,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.88 : 31,156.07 = 12,505.32 : x
  2. Step 2: Convert to fraction form
    22,576.88/31,156.07 = 12,505.32/x
  3. Step 3: Cross multiply
    22,576.88x = 31,156.07 × 12,505.32
  4. Step 4: Simplify right side
    22,576.88x = 389,616,562.77
  5. Step 5: Solve for x
    x = 389,616,562.77/22,576.88
  6. Step 6: Final answer
    x = 17,257.32

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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.