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Finding the Fourth Proportional to 12,313.80, 18,482.30 and 6,474.60

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Solution

The fourth proportional to 12,313.80, 18,482.30 and 6,474.60 is: 9,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.80 : 18,482.30 = 6,474.60 : x
  2. Step 2: Convert to fraction form
    12,313.80/18,482.30 = 6,474.60/x
  3. Step 3: Cross multiply
    12,313.80x = 18,482.30 × 6,474.60
  4. Step 4: Simplify right side
    12,313.80x = 119,665,499.58
  5. Step 5: Solve for x
    x = 119,665,499.58/12,313.80
  6. Step 6: Final answer
    x = 9,718.00

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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.