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Finding the Fourth Proportional to 20,465.64, 30,658.32 and 10,611.36

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Solution

The fourth proportional to 20,465.64, 30,658.32 and 10,611.36 is: 15,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,465.64 : 30,658.32 = 10,611.36 : x
  2. Step 2: Convert to fraction form
    20,465.64/30,658.32 = 10,611.36/x
  3. Step 3: Cross multiply
    20,465.64x = 30,658.32 × 10,611.36
  4. Step 4: Simplify right side
    20,465.64x = 325,326,470.52
  5. Step 5: Solve for x
    x = 325,326,470.52/20,465.64
  6. Step 6: Final answer
    x = 15,896.23

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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.