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Finding the Fourth Proportional to 14,180.94, 19,569.36 and 7,893.18

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Solution

The fourth proportional to 14,180.94, 19,569.36 and 7,893.18 is: 10,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.94 : 19,569.36 = 7,893.18 : x
  2. Step 2: Convert to fraction form
    14,180.94/19,569.36 = 7,893.18/x
  3. Step 3: Cross multiply
    14,180.94x = 19,569.36 × 7,893.18
  4. Step 4: Simplify right side
    14,180.94x = 154,464,343.65
  5. Step 5: Solve for x
    x = 154,464,343.65/14,180.94
  6. Step 6: Final answer
    x = 10,892.39

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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.