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Finding the Fourth Proportional to 12,986.96, 17,922 and 7,018.62

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Solution

The fourth proportional to 12,986.96, 17,922 and 7,018.62 is: 9,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.96 : 17,922 = 7,018.62 : x
  2. Step 2: Convert to fraction form
    12,986.96/17,922 = 7,018.62/x
  3. Step 3: Cross multiply
    12,986.96x = 17,922 × 7,018.62
  4. Step 4: Simplify right side
    12,986.96x = 125,787,707.64
  5. Step 5: Solve for x
    x = 125,787,707.64/12,986.96
  6. Step 6: Final answer
    x = 9,685.70

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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.