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Finding the Fourth Proportional to 17,057.70, 23,527.58 and 9,985.54

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Solution

The fourth proportional to 17,057.70, 23,527.58 and 9,985.54 is: 13,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.70 : 23,527.58 = 9,985.54 : x
  2. Step 2: Convert to fraction form
    17,057.70/23,527.58 = 9,985.54/x
  3. Step 3: Cross multiply
    17,057.70x = 23,527.58 × 9,985.54
  4. Step 4: Simplify right side
    17,057.70x = 234,935,591.19
  5. Step 5: Solve for x
    x = 234,935,591.19/17,057.70
  6. Step 6: Final answer
    x = 13,772.99

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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.