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Finding the Fourth Proportional to 23,007.56, 31,750.27 and 13,071.56

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Solution

The fourth proportional to 23,007.56, 31,750.27 and 13,071.56 is: 18,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.56 : 31,750.27 = 13,071.56 : x
  2. Step 2: Convert to fraction form
    23,007.56/31,750.27 = 13,071.56/x
  3. Step 3: Cross multiply
    23,007.56x = 31,750.27 × 13,071.56
  4. Step 4: Simplify right side
    23,007.56x = 415,025,367.89
  5. Step 5: Solve for x
    x = 415,025,367.89/23,007.56
  6. Step 6: Final answer
    x = 18,038.66

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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.