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Finding the Fourth Proportional to 23,040.36, 31,798.28 and 12,971.28

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Solution

The fourth proportional to 23,040.36, 31,798.28 and 12,971.28 is: 17,901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040.36 : 31,798.28 = 12,971.28 : x
  2. Step 2: Convert to fraction form
    23,040.36/31,798.28 = 12,971.28/x
  3. Step 3: Cross multiply
    23,040.36x = 31,798.28 × 12,971.28
  4. Step 4: Simplify right side
    23,040.36x = 412,464,393.40
  5. Step 5: Solve for x
    x = 412,464,393.40/23,040.36
  6. Step 6: Final answer
    x = 17,901.82

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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.