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Finding the Fourth Proportional to 17,672.80, 24,388.16 and 9,714.84

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Solution

The fourth proportional to 17,672.80, 24,388.16 and 9,714.84 is: 13,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.80 : 24,388.16 = 9,714.84 : x
  2. Step 2: Convert to fraction form
    17,672.80/24,388.16 = 9,714.84/x
  3. Step 3: Cross multiply
    17,672.80x = 24,388.16 × 9,714.84
  4. Step 4: Simplify right side
    17,672.80x = 236,927,072.29
  5. Step 5: Solve for x
    x = 236,927,072.29/17,672.80
  6. Step 6: Final answer
    x = 13,406.31

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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.