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Finding the Fourth Proportional to 17,611.68, 24,309.52 and 10,164.64

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Solution

The fourth proportional to 17,611.68, 24,309.52 and 10,164.64 is: 14,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,611.68 : 24,309.52 = 10,164.64 : x
  2. Step 2: Convert to fraction form
    17,611.68/24,309.52 = 10,164.64/x
  3. Step 3: Cross multiply
    17,611.68x = 24,309.52 × 10,164.64
  4. Step 4: Simplify right side
    17,611.68x = 247,097,519.37
  5. Step 5: Solve for x
    x = 247,097,519.37/17,611.68
  6. Step 6: Final answer
    x = 14,030.32

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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.