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Finding the Fourth Proportional to 16,172.78, 22,315.78 and 9,364.38

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Solution

The fourth proportional to 16,172.78, 22,315.78 and 9,364.38 is: 12,921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.78 : 22,315.78 = 9,364.38 : x
  2. Step 2: Convert to fraction form
    16,172.78/22,315.78 = 9,364.38/x
  3. Step 3: Cross multiply
    16,172.78x = 22,315.78 × 9,364.38
  4. Step 4: Simplify right side
    16,172.78x = 208,973,371.94
  5. Step 5: Solve for x
    x = 208,973,371.94/16,172.78
  6. Step 6: Final answer
    x = 12,921.31

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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.