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Finding the Fourth Proportional to 17,910.68, 24,714.50 and 9,952.34

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Solution

The fourth proportional to 17,910.68, 24,714.50 and 9,952.34 is: 13,732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.68 : 24,714.50 = 9,952.34 : x
  2. Step 2: Convert to fraction form
    17,910.68/24,714.50 = 9,952.34/x
  3. Step 3: Cross multiply
    17,910.68x = 24,714.50 × 9,952.34
  4. Step 4: Simplify right side
    17,910.68x = 245,967,106.93
  5. Step 5: Solve for x
    x = 245,967,106.93/17,910.68
  6. Step 6: Final answer
    x = 13,732.99

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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.