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Finding the Fourth Proportional to 12,671.89, 17,486.51 and 7,006.31

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Solution

The fourth proportional to 12,671.89, 17,486.51 and 7,006.31 is: 9,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.89 : 17,486.51 = 7,006.31 : x
  2. Step 2: Convert to fraction form
    12,671.89/17,486.51 = 7,006.31/x
  3. Step 3: Cross multiply
    12,671.89x = 17,486.51 × 7,006.31
  4. Step 4: Simplify right side
    12,671.89x = 122,515,909.88
  5. Step 5: Solve for x
    x = 122,515,909.88/12,671.89
  6. Step 6: Final answer
    x = 9,668.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.