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Finding the Fourth Proportional to 14,264, 21,398.10 and 4,906.42

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Solution

The fourth proportional to 14,264, 21,398.10 and 4,906.42 is: 7,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264 : 21,398.10 = 4,906.42 : x
  2. Step 2: Convert to fraction form
    14,264/21,398.10 = 4,906.42/x
  3. Step 3: Cross multiply
    14,264x = 21,398.10 × 4,906.42
  4. Step 4: Simplify right side
    14,264x = 104,988,065.80
  5. Step 5: Solve for x
    x = 104,988,065.80/14,264
  6. Step 6: Final answer
    x = 7,360.35

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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.