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Finding the Fourth Proportional to 19,705.53, 27,193.92 and 11,752.38

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Solution

The fourth proportional to 19,705.53, 27,193.92 and 11,752.38 is: 16,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.53 : 27,193.92 = 11,752.38 : x
  2. Step 2: Convert to fraction form
    19,705.53/27,193.92 = 11,752.38/x
  3. Step 3: Cross multiply
    19,705.53x = 27,193.92 × 11,752.38
  4. Step 4: Simplify right side
    19,705.53x = 319,593,281.53
  5. Step 5: Solve for x
    x = 319,593,281.53/19,705.53
  6. Step 6: Final answer
    x = 16,218.46

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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.