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Finding the Fourth Proportional to 12,523.83, 18,792.66 and 6,980.30

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Solution

The fourth proportional to 12,523.83, 18,792.66 and 6,980.30 is: 10,474.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.83 : 18,792.66 = 6,980.30 : x
  2. Step 2: Convert to fraction form
    12,523.83/18,792.66 = 6,980.30/x
  3. Step 3: Cross multiply
    12,523.83x = 18,792.66 × 6,980.30
  4. Step 4: Simplify right side
    12,523.83x = 131,178,293.18
  5. Step 5: Solve for x
    x = 131,178,293.18/12,523.83
  6. Step 6: Final answer
    x = 10,474.30

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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.