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Finding the Fourth Proportional to 12,697.69, 19,050.45 and 5,683.59

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Solution

The fourth proportional to 12,697.69, 19,050.45 and 5,683.59 is: 8,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.69 : 19,050.45 = 5,683.59 : x
  2. Step 2: Convert to fraction form
    12,697.69/19,050.45 = 5,683.59/x
  3. Step 3: Cross multiply
    12,697.69x = 19,050.45 × 5,683.59
  4. Step 4: Simplify right side
    12,697.69x = 108,274,947.12
  5. Step 5: Solve for x
    x = 108,274,947.12/12,697.69
  6. Step 6: Final answer
    x = 8,527.14

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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.