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Finding the Fourth Proportional to 22,969.37, 31,708.97 and 17,852.84

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Solution

The fourth proportional to 22,969.37, 31,708.97 and 17,852.84 is: 24,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.37 : 31,708.97 = 17,852.84 : x
  2. Step 2: Convert to fraction form
    22,969.37/31,708.97 = 17,852.84/x
  3. Step 3: Cross multiply
    22,969.37x = 31,708.97 × 17,852.84
  4. Step 4: Simplify right side
    22,969.37x = 566,095,106.02
  5. Step 5: Solve for x
    x = 566,095,106.02/22,969.37
  6. Step 6: Final answer
    x = 24,645.65

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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.