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Finding the Fourth Proportional to 30,441.40, 45,651.16 and 11,711.87

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Solution

The fourth proportional to 30,441.40, 45,651.16 and 11,711.87 is: 17,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441.40 : 45,651.16 = 11,711.87 : x
  2. Step 2: Convert to fraction form
    30,441.40/45,651.16 = 11,711.87/x
  3. Step 3: Cross multiply
    30,441.40x = 45,651.16 × 11,711.87
  4. Step 4: Simplify right side
    30,441.40x = 534,660,451.27
  5. Step 5: Solve for x
    x = 534,660,451.27/30,441.40
  6. Step 6: Final answer
    x = 17,563.60

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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.