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Finding the Fourth Proportional to 21,080.38, 29,090.64 and 11,649.10

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Solution

The fourth proportional to 21,080.38, 29,090.64 and 11,649.10 is: 16,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,080.38 : 29,090.64 = 11,649.10 : x
  2. Step 2: Convert to fraction form
    21,080.38/29,090.64 = 11,649.10/x
  3. Step 3: Cross multiply
    21,080.38x = 29,090.64 × 11,649.10
  4. Step 4: Simplify right side
    21,080.38x = 338,879,774.42
  5. Step 5: Solve for x
    x = 338,879,774.42/21,080.38
  6. Step 6: Final answer
    x = 16,075.60

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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.