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Finding the Fourth Proportional to 14,611.24, 20,167.32 and 9,019

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Solution

The fourth proportional to 14,611.24, 20,167.32 and 9,019 is: 12,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.24 : 20,167.32 = 9,019 : x
  2. Step 2: Convert to fraction form
    14,611.24/20,167.32 = 9,019/x
  3. Step 3: Cross multiply
    14,611.24x = 20,167.32 × 9,019
  4. Step 4: Simplify right side
    14,611.24x = 181,889,059.08
  5. Step 5: Solve for x
    x = 181,889,059.08/14,611.24
  6. Step 6: Final answer
    x = 12,448.57

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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.