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Finding the Fourth Proportional to 12,315.19, 16,972.99 and 9,323.86

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Solution

The fourth proportional to 12,315.19, 16,972.99 and 9,323.86 is: 12,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.19 : 16,972.99 = 9,323.86 : x
  2. Step 2: Convert to fraction form
    12,315.19/16,972.99 = 9,323.86/x
  3. Step 3: Cross multiply
    12,315.19x = 16,972.99 × 9,323.86
  4. Step 4: Simplify right side
    12,315.19x = 158,253,782.54
  5. Step 5: Solve for x
    x = 158,253,782.54/12,315.19
  6. Step 6: Final answer
    x = 12,850.29

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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.