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Finding the Fourth Proportional to 17,000.19, 23,459.80 and 9,446.33

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Solution

The fourth proportional to 17,000.19, 23,459.80 and 9,446.33 is: 13,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.19 : 23,459.80 = 9,446.33 : x
  2. Step 2: Convert to fraction form
    17,000.19/23,459.80 = 9,446.33/x
  3. Step 3: Cross multiply
    17,000.19x = 23,459.80 × 9,446.33
  4. Step 4: Simplify right side
    17,000.19x = 221,608,977.31
  5. Step 5: Solve for x
    x = 221,608,977.31/17,000.19
  6. Step 6: Final answer
    x = 13,035.67

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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.