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Finding the Fourth Proportional to 17,682.90, 24,403.85 and 9,726.67

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Solution

The fourth proportional to 17,682.90, 24,403.85 and 9,726.67 is: 13,423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.90 : 24,403.85 = 9,726.67 : x
  2. Step 2: Convert to fraction form
    17,682.90/24,403.85 = 9,726.67/x
  3. Step 3: Cross multiply
    17,682.90x = 24,403.85 × 9,726.67
  4. Step 4: Simplify right side
    17,682.90x = 237,368,195.68
  5. Step 5: Solve for x
    x = 237,368,195.68/17,682.90
  6. Step 6: Final answer
    x = 13,423.60

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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.