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Finding the Fourth Proportional to 19,836, 27,373.68 and 11,004

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Solution

The fourth proportional to 19,836, 27,373.68 and 11,004 is: 15,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836 : 27,373.68 = 11,004 : x
  2. Step 2: Convert to fraction form
    19,836/27,373.68 = 11,004/x
  3. Step 3: Cross multiply
    19,836x = 27,373.68 × 11,004
  4. Step 4: Simplify right side
    19,836x = 301,219,974.72
  5. Step 5: Solve for x
    x = 301,219,974.72/19,836
  6. Step 6: Final answer
    x = 15,185.52

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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.