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Finding the Fourth Proportional to 12,323.64, 18,485.46 and 3,089.64

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Solution

The fourth proportional to 12,323.64, 18,485.46 and 3,089.64 is: 4,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.64 : 18,485.46 = 3,089.64 : x
  2. Step 2: Convert to fraction form
    12,323.64/18,485.46 = 3,089.64/x
  3. Step 3: Cross multiply
    12,323.64x = 18,485.46 × 3,089.64
  4. Step 4: Simplify right side
    12,323.64x = 57,113,416.63
  5. Step 5: Solve for x
    x = 57,113,416.63/12,323.64
  6. Step 6: Final answer
    x = 4,634.46

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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.