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Finding the Fourth Proportional to 19,898.38, 27,458.37 and 10,946.26

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Solution

The fourth proportional to 19,898.38, 27,458.37 and 10,946.26 is: 15,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.38 : 27,458.37 = 10,946.26 : x
  2. Step 2: Convert to fraction form
    19,898.38/27,458.37 = 10,946.26/x
  3. Step 3: Cross multiply
    19,898.38x = 27,458.37 × 10,946.26
  4. Step 4: Simplify right side
    19,898.38x = 300,566,457.20
  5. Step 5: Solve for x
    x = 300,566,457.20/19,898.38
  6. Step 6: Final answer
    x = 15,105.07

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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.