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Finding the Fourth Proportional to 21,711.90, 29,968.31 and 12,762.27

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Solution

The fourth proportional to 21,711.90, 29,968.31 and 12,762.27 is: 17,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.90 : 29,968.31 = 12,762.27 : x
  2. Step 2: Convert to fraction form
    21,711.90/29,968.31 = 12,762.27/x
  3. Step 3: Cross multiply
    21,711.90x = 29,968.31 × 12,762.27
  4. Step 4: Simplify right side
    21,711.90x = 382,463,663.66
  5. Step 5: Solve for x
    x = 382,463,663.66/21,711.90
  6. Step 6: Final answer
    x = 17,615.39

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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.