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Finding the Fourth Proportional to 13,966.08, 19,273.44 and 7,678.44

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Solution

The fourth proportional to 13,966.08, 19,273.44 and 7,678.44 is: 10,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.08 : 19,273.44 = 7,678.44 : x
  2. Step 2: Convert to fraction form
    13,966.08/19,273.44 = 7,678.44/x
  3. Step 3: Cross multiply
    13,966.08x = 19,273.44 × 7,678.44
  4. Step 4: Simplify right side
    13,966.08x = 147,989,952.63
  5. Step 5: Solve for x
    x = 147,989,952.63/13,966.08
  6. Step 6: Final answer
    x = 10,596.38

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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.