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Finding the Fourth Proportional to 19,669, 27,143.24 and 10,837

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Solution

The fourth proportional to 19,669, 27,143.24 and 10,837 is: 14,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669 : 27,143.24 = 10,837 : x
  2. Step 2: Convert to fraction form
    19,669/27,143.24 = 10,837/x
  3. Step 3: Cross multiply
    19,669x = 27,143.24 × 10,837
  4. Step 4: Simplify right side
    19,669x = 294,151,291.88
  5. Step 5: Solve for x
    x = 294,151,291.88/19,669
  6. Step 6: Final answer
    x = 14,955.07

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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.