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Finding the Fourth Proportional to 23,009.49, 31,752.94 and 13,073.49

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Solution

The fourth proportional to 23,009.49, 31,752.94 and 13,073.49 is: 18,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.49 : 31,752.94 = 13,073.49 : x
  2. Step 2: Convert to fraction form
    23,009.49/31,752.94 = 13,073.49/x
  3. Step 3: Cross multiply
    23,009.49x = 31,752.94 × 13,073.49
  4. Step 4: Simplify right side
    23,009.49x = 415,121,822.94
  5. Step 5: Solve for x
    x = 415,121,822.94/23,009.49
  6. Step 6: Final answer
    x = 18,041.33

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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.