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Finding the Fourth Proportional to 19,783.98, 27,289.20 and 11,400.48

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Solution

The fourth proportional to 19,783.98, 27,289.20 and 11,400.48 is: 15,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.98 : 27,289.20 = 11,400.48 : x
  2. Step 2: Convert to fraction form
    19,783.98/27,289.20 = 11,400.48/x
  3. Step 3: Cross multiply
    19,783.98x = 27,289.20 × 11,400.48
  4. Step 4: Simplify right side
    19,783.98x = 311,109,978.82
  5. Step 5: Solve for x
    x = 311,109,978.82/19,783.98
  6. Step 6: Final answer
    x = 15,725.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.