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Finding the Fourth Proportional to 12,689.94, 19,038.81 and 5,675.86

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Solution

The fourth proportional to 12,689.94, 19,038.81 and 5,675.86 is: 8,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.94 : 19,038.81 = 5,675.86 : x
  2. Step 2: Convert to fraction form
    12,689.94/19,038.81 = 5,675.86/x
  3. Step 3: Cross multiply
    12,689.94x = 19,038.81 × 5,675.86
  4. Step 4: Simplify right side
    12,689.94x = 108,061,496.55
  5. Step 5: Solve for x
    x = 108,061,496.55/12,689.94
  6. Step 6: Final answer
    x = 8,515.52

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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.