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Finding the Fourth Proportional to 27,123.94, 40,712.21 and 13,093.84

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Solution

The fourth proportional to 27,123.94, 40,712.21 and 13,093.84 is: 19,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,123.94 : 40,712.21 = 13,093.84 : x
  2. Step 2: Convert to fraction form
    27,123.94/40,712.21 = 13,093.84/x
  3. Step 3: Cross multiply
    27,123.94x = 40,712.21 × 13,093.84
  4. Step 4: Simplify right side
    27,123.94x = 533,079,198.31
  5. Step 5: Solve for x
    x = 533,079,198.31/27,123.94
  6. Step 6: Final answer
    x = 19,653.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.