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Finding the Fourth Proportional to 16,447.44, 22,696 and 9,277.88

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Solution

The fourth proportional to 16,447.44, 22,696 and 9,277.88 is: 12,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.44 : 22,696 = 9,277.88 : x
  2. Step 2: Convert to fraction form
    16,447.44/22,696 = 9,277.88/x
  3. Step 3: Cross multiply
    16,447.44x = 22,696 × 9,277.88
  4. Step 4: Simplify right side
    16,447.44x = 210,570,764.48
  5. Step 5: Solve for x
    x = 210,570,764.48/16,447.44
  6. Step 6: Final answer
    x = 12,802.65

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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.