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Finding the Fourth Proportional to 19,662.34, 27,133.50 and 10,709.30

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Solution

The fourth proportional to 19,662.34, 27,133.50 and 10,709.30 is: 14,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.34 : 27,133.50 = 10,709.30 : x
  2. Step 2: Convert to fraction form
    19,662.34/27,133.50 = 10,709.30/x
  3. Step 3: Cross multiply
    19,662.34x = 27,133.50 × 10,709.30
  4. Step 4: Simplify right side
    19,662.34x = 290,580,859.38
  5. Step 5: Solve for x
    x = 290,580,859.38/19,662.34
  6. Step 6: Final answer
    x = 14,778.55

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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.