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Finding the Fourth Proportional to 23,007.68, 31,750.44 and 13,071.68

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Solution

The fourth proportional to 23,007.68, 31,750.44 and 13,071.68 is: 18,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.68 : 31,750.44 = 13,071.68 : x
  2. Step 2: Convert to fraction form
    23,007.68/31,750.44 = 13,071.68/x
  3. Step 3: Cross multiply
    23,007.68x = 31,750.44 × 13,071.68
  4. Step 4: Simplify right side
    23,007.68x = 415,031,591.54
  5. Step 5: Solve for x
    x = 415,031,591.54/23,007.68
  6. Step 6: Final answer
    x = 18,038.83

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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.