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Finding the Fourth Proportional to 12,671.70, 17,486.63 and 7,006.30

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Solution

The fourth proportional to 12,671.70, 17,486.63 and 7,006.30 is: 9,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.70 : 17,486.63 = 7,006.30 : x
  2. Step 2: Convert to fraction form
    12,671.70/17,486.63 = 7,006.30/x
  3. Step 3: Cross multiply
    12,671.70x = 17,486.63 × 7,006.30
  4. Step 4: Simplify right side
    12,671.70x = 122,516,562.70
  5. Step 5: Solve for x
    x = 122,516,562.70/12,671.70
  6. Step 6: Final answer
    x = 9,668.52

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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.