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Finding the Fourth Proportional to 12,144.16, 16,758.93 and 6,838.86

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Solution

The fourth proportional to 12,144.16, 16,758.93 and 6,838.86 is: 9,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.16 : 16,758.93 = 6,838.86 : x
  2. Step 2: Convert to fraction form
    12,144.16/16,758.93 = 6,838.86/x
  3. Step 3: Cross multiply
    12,144.16x = 16,758.93 × 6,838.86
  4. Step 4: Simplify right side
    12,144.16x = 114,611,976.02
  5. Step 5: Solve for x
    x = 114,611,976.02/12,144.16
  6. Step 6: Final answer
    x = 9,437.62

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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.