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Finding the Fourth Proportional to 21,381.14, 29,498.74 and 13,837

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Solution

The fourth proportional to 21,381.14, 29,498.74 and 13,837 is: 19,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.14 : 29,498.74 = 13,837 : x
  2. Step 2: Convert to fraction form
    21,381.14/29,498.74 = 13,837/x
  3. Step 3: Cross multiply
    21,381.14x = 29,498.74 × 13,837
  4. Step 4: Simplify right side
    21,381.14x = 408,174,065.38
  5. Step 5: Solve for x
    x = 408,174,065.38/21,381.14
  6. Step 6: Final answer
    x = 19,090.38

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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.