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Finding the Fourth Proportional to 23,096.91, 31,873.05 and 13,025.64

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Solution

The fourth proportional to 23,096.91, 31,873.05 and 13,025.64 is: 17,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.91 : 31,873.05 = 13,025.64 : x
  2. Step 2: Convert to fraction form
    23,096.91/31,873.05 = 13,025.64/x
  3. Step 3: Cross multiply
    23,096.91x = 31,873.05 × 13,025.64
  4. Step 4: Simplify right side
    23,096.91x = 415,166,875.00
  5. Step 5: Solve for x
    x = 415,166,875.00/23,096.91
  6. Step 6: Final answer
    x = 17,975.00

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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.