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Finding the Fourth Proportional to 21,157.94, 31,728.70 and 11,291.84

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Solution

The fourth proportional to 21,157.94, 31,728.70 and 11,291.84 is: 16,933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.94 : 31,728.70 = 11,291.84 : x
  2. Step 2: Convert to fraction form
    21,157.94/31,728.70 = 11,291.84/x
  3. Step 3: Cross multiply
    21,157.94x = 31,728.70 × 11,291.84
  4. Step 4: Simplify right side
    21,157.94x = 358,275,403.81
  5. Step 5: Solve for x
    x = 358,275,403.81/21,157.94
  6. Step 6: Final answer
    x = 16,933.38

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