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Finding the Fourth Proportional to 21,431.58, 29,574.33 and 11,871.42

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Solution

The fourth proportional to 21,431.58, 29,574.33 and 11,871.42 is: 16,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.58 : 29,574.33 = 11,871.42 : x
  2. Step 2: Convert to fraction form
    21,431.58/29,574.33 = 11,871.42/x
  3. Step 3: Cross multiply
    21,431.58x = 29,574.33 × 11,871.42
  4. Step 4: Simplify right side
    21,431.58x = 351,089,292.65
  5. Step 5: Solve for x
    x = 351,089,292.65/21,431.58
  6. Step 6: Final answer
    x = 16,381.87

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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.