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Finding the Fourth Proportional to 21,195.88, 31,714.26 and 13,193.08

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Solution

The fourth proportional to 21,195.88, 31,714.26 and 13,193.08 is: 19,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.88 : 31,714.26 = 13,193.08 : x
  2. Step 2: Convert to fraction form
    21,195.88/31,714.26 = 13,193.08/x
  3. Step 3: Cross multiply
    21,195.88x = 31,714.26 × 13,193.08
  4. Step 4: Simplify right side
    21,195.88x = 418,408,769.32
  5. Step 5: Solve for x
    x = 418,408,769.32/21,195.88
  6. Step 6: Final answer
    x = 19,740.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.