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Finding the Fourth Proportional to 12,673.86, 17,488.40 and 7,007.85

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Solution

The fourth proportional to 12,673.86, 17,488.40 and 7,007.85 is: 9,669.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,673.86 : 17,488.40 = 7,007.85 : x
  2. Step 2: Convert to fraction form
    12,673.86/17,488.40 = 7,007.85/x
  3. Step 3: Cross multiply
    12,673.86x = 17,488.40 × 7,007.85
  4. Step 4: Simplify right side
    12,673.86x = 122,556,083.94
  5. Step 5: Solve for x
    x = 122,556,083.94/12,673.86
  6. Step 6: Final answer
    x = 9,669.99

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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.