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Finding the Fourth Proportional to 21,090.78, 29,106.17 and 12,138.32

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Solution

The fourth proportional to 21,090.78, 29,106.17 and 12,138.32 is: 16,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090.78 : 29,106.17 = 12,138.32 : x
  2. Step 2: Convert to fraction form
    21,090.78/29,106.17 = 12,138.32/x
  3. Step 3: Cross multiply
    21,090.78x = 29,106.17 × 12,138.32
  4. Step 4: Simplify right side
    21,090.78x = 353,299,799.21
  5. Step 5: Solve for x
    x = 353,299,799.21/21,090.78
  6. Step 6: Final answer
    x = 16,751.39

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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.