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Finding the Fourth Proportional to 23,039.64, 31,796.28 and 12,969.05

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Solution

The fourth proportional to 23,039.64, 31,796.28 and 12,969.05 is: 17,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,039.64 : 31,796.28 = 12,969.05 : x
  2. Step 2: Convert to fraction form
    23,039.64/31,796.28 = 12,969.05/x
  3. Step 3: Cross multiply
    23,039.64x = 31,796.28 × 12,969.05
  4. Step 4: Simplify right side
    23,039.64x = 412,367,386.15
  5. Step 5: Solve for x
    x = 412,367,386.15/23,039.64
  6. Step 6: Final answer
    x = 17,898.17

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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.