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Finding the Fourth Proportional to 22,288.47, 30,751.96 and 13,786.51

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Solution

The fourth proportional to 22,288.47, 30,751.96 and 13,786.51 is: 19,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.47 : 30,751.96 = 13,786.51 : x
  2. Step 2: Convert to fraction form
    22,288.47/30,751.96 = 13,786.51/x
  3. Step 3: Cross multiply
    22,288.47x = 30,751.96 × 13,786.51
  4. Step 4: Simplify right side
    22,288.47x = 423,962,204.06
  5. Step 5: Solve for x
    x = 423,962,204.06/22,288.47
  6. Step 6: Final answer
    x = 19,021.59

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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.