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Finding the Fourth Proportional to 12,716.68, 19,069.74 and 4,921

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Solution

The fourth proportional to 12,716.68, 19,069.74 and 4,921 is: 7,379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.68 : 19,069.74 = 4,921 : x
  2. Step 2: Convert to fraction form
    12,716.68/19,069.74 = 4,921/x
  3. Step 3: Cross multiply
    12,716.68x = 19,069.74 × 4,921
  4. Step 4: Simplify right side
    12,716.68x = 93,842,190.54
  5. Step 5: Solve for x
    x = 93,842,190.54/12,716.68
  6. Step 6: Final answer
    x = 7,379.46

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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.