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Finding the Fourth Proportional to 17,530.86, 24,184.62 and 10,355.88

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Solution

The fourth proportional to 17,530.86, 24,184.62 and 10,355.88 is: 14,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.86 : 24,184.62 = 10,355.88 : x
  2. Step 2: Convert to fraction form
    17,530.86/24,184.62 = 10,355.88/x
  3. Step 3: Cross multiply
    17,530.86x = 24,184.62 × 10,355.88
  4. Step 4: Simplify right side
    17,530.86x = 250,453,022.57
  5. Step 5: Solve for x
    x = 250,453,022.57/17,530.86
  6. Step 6: Final answer
    x = 14,286.41

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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.