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Finding the Fourth Proportional to 19,703.84, 27,190.16 and 11,320.32

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Solution

The fourth proportional to 19,703.84, 27,190.16 and 11,320.32 is: 15,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.84 : 27,190.16 = 11,320.32 : x
  2. Step 2: Convert to fraction form
    19,703.84/27,190.16 = 11,320.32/x
  3. Step 3: Cross multiply
    19,703.84x = 27,190.16 × 11,320.32
  4. Step 4: Simplify right side
    19,703.84x = 307,801,312.05
  5. Step 5: Solve for x
    x = 307,801,312.05/19,703.84
  6. Step 6: Final answer
    x = 15,621.39

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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.