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Finding the Fourth Proportional to 17,538.09, 24,202.17 and 9,580.35

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Solution

The fourth proportional to 17,538.09, 24,202.17 and 9,580.35 is: 13,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.09 : 24,202.17 = 9,580.35 : x
  2. Step 2: Convert to fraction form
    17,538.09/24,202.17 = 9,580.35/x
  3. Step 3: Cross multiply
    17,538.09x = 24,202.17 × 9,580.35
  4. Step 4: Simplify right side
    17,538.09x = 231,865,259.36
  5. Step 5: Solve for x
    x = 231,865,259.36/17,538.09
  6. Step 6: Final answer
    x = 13,220.67

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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.