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Finding the Fourth Proportional to 19,937, 27,516.30 and 11,558.36

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Solution

The fourth proportional to 19,937, 27,516.30 and 11,558.36 is: 15,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937 : 27,516.30 = 11,558.36 : x
  2. Step 2: Convert to fraction form
    19,937/27,516.30 = 11,558.36/x
  3. Step 3: Cross multiply
    19,937x = 27,516.30 × 11,558.36
  4. Step 4: Simplify right side
    19,937x = 318,043,301.27
  5. Step 5: Solve for x
    x = 318,043,301.27/19,937
  6. Step 6: Final answer
    x = 15,952.42

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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.