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Finding the Fourth Proportional to 19,234, 26,543 and 10,402

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Solution

The fourth proportional to 19,234, 26,543 and 10,402 is: 14,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234 : 26,543 = 10,402 : x
  2. Step 2: Convert to fraction form
    19,234/26,543 = 10,402/x
  3. Step 3: Cross multiply
    19,234x = 26,543 × 10,402
  4. Step 4: Simplify right side
    19,234x = 276,100,286
  5. Step 5: Solve for x
    x = 276,100,286/19,234
  6. Step 6: Final answer
    x = 14,354.80

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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.