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Finding the Fourth Proportional to 18,398.09, 25,341 and 14,141

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Solution

The fourth proportional to 18,398.09, 25,341 and 14,141 is: 19,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,398.09 : 25,341 = 14,141 : x
  2. Step 2: Convert to fraction form
    18,398.09/25,341 = 14,141/x
  3. Step 3: Cross multiply
    18,398.09x = 25,341 × 14,141
  4. Step 4: Simplify right side
    18,398.09x = 358,347,081
  5. Step 5: Solve for x
    x = 358,347,081/18,398.09
  6. Step 6: Final answer
    x = 19,477.41

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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.