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Finding the Fourth Proportional to 17,234.56, 23,783.64 and 10,069.40

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Solution

The fourth proportional to 17,234.56, 23,783.64 and 10,069.40 is: 13,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.56 : 23,783.64 = 10,069.40 : x
  2. Step 2: Convert to fraction form
    17,234.56/23,783.64 = 10,069.40/x
  3. Step 3: Cross multiply
    17,234.56x = 23,783.64 × 10,069.40
  4. Step 4: Simplify right side
    17,234.56x = 239,486,984.62
  5. Step 5: Solve for x
    x = 239,486,984.62/17,234.56
  6. Step 6: Final answer
    x = 13,895.74

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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.