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Finding the Fourth Proportional to 23,143.69, 31,914.41 and 19,797.58

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Solution

The fourth proportional to 23,143.69, 31,914.41 and 19,797.58 is: 27,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.69 : 31,914.41 = 19,797.58 : x
  2. Step 2: Convert to fraction form
    23,143.69/31,914.41 = 19,797.58/x
  3. Step 3: Cross multiply
    23,143.69x = 31,914.41 × 19,797.58
  4. Step 4: Simplify right side
    23,143.69x = 631,828,026.03
  5. Step 5: Solve for x
    x = 631,828,026.03/23,143.69
  6. Step 6: Final answer
    x = 27,300.23

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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.