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Finding the Fourth Proportional to 12,323.53, 18,467.61 and 5,301.64

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Solution

The fourth proportional to 12,323.53, 18,467.61 and 5,301.64 is: 7,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.53 : 18,467.61 = 5,301.64 : x
  2. Step 2: Convert to fraction form
    12,323.53/18,467.61 = 5,301.64/x
  3. Step 3: Cross multiply
    12,323.53x = 18,467.61 × 5,301.64
  4. Step 4: Simplify right side
    12,323.53x = 97,908,619.88
  5. Step 5: Solve for x
    x = 97,908,619.88/12,323.53
  6. Step 6: Final answer
    x = 7,944.85

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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.