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Finding the Fourth Proportional to 12,687.36, 19,030.68 and 5,673.84

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Solution

The fourth proportional to 12,687.36, 19,030.68 and 5,673.84 is: 8,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.36 : 19,030.68 = 5,673.84 : x
  2. Step 2: Convert to fraction form
    12,687.36/19,030.68 = 5,673.84/x
  3. Step 3: Cross multiply
    12,687.36x = 19,030.68 × 5,673.84
  4. Step 4: Simplify right side
    12,687.36x = 107,977,033.41
  5. Step 5: Solve for x
    x = 107,977,033.41/12,687.36
  6. Step 6: Final answer
    x = 8,510.60

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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.