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Finding the Fourth Proportional to 17,102.02, 25,655.73 and 6,009.34

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Solution

The fourth proportional to 17,102.02, 25,655.73 and 6,009.34 is: 9,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.02 : 25,655.73 = 6,009.34 : x
  2. Step 2: Convert to fraction form
    17,102.02/25,655.73 = 6,009.34/x
  3. Step 3: Cross multiply
    17,102.02x = 25,655.73 × 6,009.34
  4. Step 4: Simplify right side
    17,102.02x = 154,174,004.52
  5. Step 5: Solve for x
    x = 154,174,004.52/17,102.02
  6. Step 6: Final answer
    x = 9,014.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.