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Finding the Fourth Proportional to 12,711, 19,062.65 and 3,823.98

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Solution

The fourth proportional to 12,711, 19,062.65 and 3,823.98 is: 5,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 19,062.65 = 3,823.98 : x
  2. Step 2: Convert to fraction form
    12,711/19,062.65 = 3,823.98/x
  3. Step 3: Cross multiply
    12,711x = 19,062.65 × 3,823.98
  4. Step 4: Simplify right side
    12,711x = 72,895,097.03
  5. Step 5: Solve for x
    x = 72,895,097.03/12,711
  6. Step 6: Final answer
    x = 5,734.80

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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.