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Finding the Fourth Proportional to 21,031.25, 29,021.02 and 12,416.09

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Solution

The fourth proportional to 21,031.25, 29,021.02 and 12,416.09 is: 17,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,031.25 : 29,021.02 = 12,416.09 : x
  2. Step 2: Convert to fraction form
    21,031.25/29,021.02 = 12,416.09/x
  3. Step 3: Cross multiply
    21,031.25x = 29,021.02 × 12,416.09
  4. Step 4: Simplify right side
    21,031.25x = 360,327,420.07
  5. Step 5: Solve for x
    x = 360,327,420.07/21,031.25
  6. Step 6: Final answer
    x = 17,132.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.