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Finding the Fourth Proportional to 21,301.84, 29,396.16 and 11,611.38

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Solution

The fourth proportional to 21,301.84, 29,396.16 and 11,611.38 is: 16,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.84 : 29,396.16 = 11,611.38 : x
  2. Step 2: Convert to fraction form
    21,301.84/29,396.16 = 11,611.38/x
  3. Step 3: Cross multiply
    21,301.84x = 29,396.16 × 11,611.38
  4. Step 4: Simplify right side
    21,301.84x = 341,330,094.54
  5. Step 5: Solve for x
    x = 341,330,094.54/21,301.84
  6. Step 6: Final answer
    x = 16,023.50

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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.