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Finding the Fourth Proportional to 12,689.69, 19,038.43 and 5,675.61

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Solution

The fourth proportional to 12,689.69, 19,038.43 and 5,675.61 is: 8,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.69 : 19,038.43 = 5,675.61 : x
  2. Step 2: Convert to fraction form
    12,689.69/19,038.43 = 5,675.61/x
  3. Step 3: Cross multiply
    12,689.69x = 19,038.43 × 5,675.61
  4. Step 4: Simplify right side
    12,689.69x = 108,054,608.50
  5. Step 5: Solve for x
    x = 108,054,608.50/12,689.69
  6. Step 6: Final answer
    x = 8,515.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.