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Finding the Fourth Proportional to 19,735.45, 27,236.79 and 10,784.32

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Solution

The fourth proportional to 19,735.45, 27,236.79 and 10,784.32 is: 14,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.45 : 27,236.79 = 10,784.32 : x
  2. Step 2: Convert to fraction form
    19,735.45/27,236.79 = 10,784.32/x
  3. Step 3: Cross multiply
    19,735.45x = 27,236.79 × 10,784.32
  4. Step 4: Simplify right side
    19,735.45x = 293,730,191.04
  5. Step 5: Solve for x
    x = 293,730,191.04/19,735.45
  6. Step 6: Final answer
    x = 14,883.38

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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.