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Finding the Fourth Proportional to 17,530.80, 24,194.85 and 9,980.22

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Solution

The fourth proportional to 17,530.80, 24,194.85 and 9,980.22 is: 13,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.80 : 24,194.85 = 9,980.22 : x
  2. Step 2: Convert to fraction form
    17,530.80/24,194.85 = 9,980.22/x
  3. Step 3: Cross multiply
    17,530.80x = 24,194.85 × 9,980.22
  4. Step 4: Simplify right side
    17,530.80x = 241,469,925.87
  5. Step 5: Solve for x
    x = 241,469,925.87/17,530.80
  6. Step 6: Final answer
    x = 13,774.04

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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.