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Finding the Fourth Proportional to 12,323.70, 18,485.55 and 7,946.10

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Solution

The fourth proportional to 12,323.70, 18,485.55 and 7,946.10 is: 11,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.70 : 18,485.55 = 7,946.10 : x
  2. Step 2: Convert to fraction form
    12,323.70/18,485.55 = 7,946.10/x
  3. Step 3: Cross multiply
    12,323.70x = 18,485.55 × 7,946.10
  4. Step 4: Simplify right side
    12,323.70x = 146,888,028.86
  5. Step 5: Solve for x
    x = 146,888,028.86/12,323.70
  6. Step 6: Final answer
    x = 11,919.15

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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.