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Finding the Fourth Proportional to 22,860, 31,550.84 and 13,428.56

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Solution

The fourth proportional to 22,860, 31,550.84 and 13,428.56 is: 18,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860 : 31,550.84 = 13,428.56 : x
  2. Step 2: Convert to fraction form
    22,860/31,550.84 = 13,428.56/x
  3. Step 3: Cross multiply
    22,860x = 31,550.84 × 13,428.56
  4. Step 4: Simplify right side
    22,860x = 423,682,347.99
  5. Step 5: Solve for x
    x = 423,682,347.99/22,860
  6. Step 6: Final answer
    x = 18,533.79

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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.