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Finding the Fourth Proportional to 12,208.95, 16,846.16 and 6,831.50

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Solution

The fourth proportional to 12,208.95, 16,846.16 and 6,831.50 is: 9,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.95 : 16,846.16 = 6,831.50 : x
  2. Step 2: Convert to fraction form
    12,208.95/16,846.16 = 6,831.50/x
  3. Step 3: Cross multiply
    12,208.95x = 16,846.16 × 6,831.50
  4. Step 4: Simplify right side
    12,208.95x = 115,084,423.65
  5. Step 5: Solve for x
    x = 115,084,423.65/12,208.95
  6. Step 6: Final answer
    x = 9,426.23

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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.