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Finding the Fourth Proportional to 12,986.01, 17,920.70 and 7,017.67

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Solution

The fourth proportional to 12,986.01, 17,920.70 and 7,017.67 is: 9,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.01 : 17,920.70 = 7,017.67 : x
  2. Step 2: Convert to fraction form
    12,986.01/17,920.70 = 7,017.67/x
  3. Step 3: Cross multiply
    12,986.01x = 17,920.70 × 7,017.67
  4. Step 4: Simplify right side
    12,986.01x = 125,761,568.48
  5. Step 5: Solve for x
    x = 125,761,568.48/12,986.01
  6. Step 6: Final answer
    x = 9,684.39

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Why These Related Problems?

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