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Finding the Fourth Proportional to 12,689.57, 19,038.86 and 5,668.94

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Solution

The fourth proportional to 12,689.57, 19,038.86 and 5,668.94 is: 8,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.57 : 19,038.86 = 5,668.94 : x
  2. Step 2: Convert to fraction form
    12,689.57/19,038.86 = 5,668.94/x
  3. Step 3: Cross multiply
    12,689.57x = 19,038.86 × 5,668.94
  4. Step 4: Simplify right side
    12,689.57x = 107,930,031.47
  5. Step 5: Solve for x
    x = 107,930,031.47/12,689.57
  6. Step 6: Final answer
    x = 8,505.42

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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.