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Finding the Fourth Proportional to 28,424.00, 39,227.34 and 15,678.33

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Solution

The fourth proportional to 28,424.00, 39,227.34 and 15,678.33 is: 21,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,424.00 : 39,227.34 = 15,678.33 : x
  2. Step 2: Convert to fraction form
    28,424.00/39,227.34 = 15,678.33/x
  3. Step 3: Cross multiply
    28,424.00x = 39,227.34 × 15,678.33
  4. Step 4: Simplify right side
    28,424.00x = 615,019,181.54
  5. Step 5: Solve for x
    x = 615,019,181.54/28,424.00
  6. Step 6: Final answer
    x = 21,637.32

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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.