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Finding the Fourth Proportional to 21,208.20, 29,280 and 13,261.20

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Solution

The fourth proportional to 21,208.20, 29,280 and 13,261.20 is: 18,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.20 : 29,280 = 13,261.20 : x
  2. Step 2: Convert to fraction form
    21,208.20/29,280 = 13,261.20/x
  3. Step 3: Cross multiply
    21,208.20x = 29,280 × 13,261.20
  4. Step 4: Simplify right side
    21,208.20x = 388,287,936
  5. Step 5: Solve for x
    x = 388,287,936/21,208.20
  6. Step 6: Final answer
    x = 18,308.39

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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.