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Finding the Fourth Proportional to 17,158.20, 23,678.22 and 9,706.20

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Solution

The fourth proportional to 17,158.20, 23,678.22 and 9,706.20 is: 13,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,158.20 : 23,678.22 = 9,706.20 : x
  2. Step 2: Convert to fraction form
    17,158.20/23,678.22 = 9,706.20/x
  3. Step 3: Cross multiply
    17,158.20x = 23,678.22 × 9,706.20
  4. Step 4: Simplify right side
    17,158.20x = 229,825,538.96
  5. Step 5: Solve for x
    x = 229,825,538.96/17,158.20
  6. Step 6: Final answer
    x = 13,394.50

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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.