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Finding the Fourth Proportional to 19,418, 29,124.52 and 6,269

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Solution

The fourth proportional to 19,418, 29,124.52 and 6,269 is: 9,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,418 : 29,124.52 = 6,269 : x
  2. Step 2: Convert to fraction form
    19,418/29,124.52 = 6,269/x
  3. Step 3: Cross multiply
    19,418x = 29,124.52 × 6,269
  4. Step 4: Simplify right side
    19,418x = 182,581,615.88
  5. Step 5: Solve for x
    x = 182,581,615.88/19,418
  6. Step 6: Final answer
    x = 9,402.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.