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Finding the Fourth Proportional to 12,322.53, 18,466.11 and 5,300.64

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Solution

The fourth proportional to 12,322.53, 18,466.11 and 5,300.64 is: 7,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.53 : 18,466.11 = 5,300.64 : x
  2. Step 2: Convert to fraction form
    12,322.53/18,466.11 = 5,300.64/x
  3. Step 3: Cross multiply
    12,322.53x = 18,466.11 × 5,300.64
  4. Step 4: Simplify right side
    12,322.53x = 97,882,201.31
  5. Step 5: Solve for x
    x = 97,882,201.31/12,322.53
  6. Step 6: Final answer
    x = 7,943.35

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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.