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Finding the Fourth Proportional to 23,187.64, 31,998.06 and 12,576.90

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Solution

The fourth proportional to 23,187.64, 31,998.06 and 12,576.90 is: 17,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.64 : 31,998.06 = 12,576.90 : x
  2. Step 2: Convert to fraction form
    23,187.64/31,998.06 = 12,576.90/x
  3. Step 3: Cross multiply
    23,187.64x = 31,998.06 × 12,576.90
  4. Step 4: Simplify right side
    23,187.64x = 402,436,400.81
  5. Step 5: Solve for x
    x = 402,436,400.81/23,187.64
  6. Step 6: Final answer
    x = 17,355.64

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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.