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Finding the Fourth Proportional to 19,473.82, 26,873.84 and 10,978.00

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Solution

The fourth proportional to 19,473.82, 26,873.84 and 10,978.00 is: 15,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473.82 : 26,873.84 = 10,978.00 : x
  2. Step 2: Convert to fraction form
    19,473.82/26,873.84 = 10,978.00/x
  3. Step 3: Cross multiply
    19,473.82x = 26,873.84 × 10,978.00
  4. Step 4: Simplify right side
    19,473.82x = 295,020,975.78
  5. Step 5: Solve for x
    x = 295,020,975.78/19,473.82
  6. Step 6: Final answer
    x = 15,149.62

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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.