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Finding the Fourth Proportional to 17,757.35, 24,509.33 and 10,208.06

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Solution

The fourth proportional to 17,757.35, 24,509.33 and 10,208.06 is: 14,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.35 : 24,509.33 = 10,208.06 : x
  2. Step 2: Convert to fraction form
    17,757.35/24,509.33 = 10,208.06/x
  3. Step 3: Cross multiply
    17,757.35x = 24,509.33 × 10,208.06
  4. Step 4: Simplify right side
    17,757.35x = 250,192,711.20
  5. Step 5: Solve for x
    x = 250,192,711.20/17,757.35
  6. Step 6: Final answer
    x = 14,089.53

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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.