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Finding the Fourth Proportional to 13,134.14, 19,687.03 and 6,475.26

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Solution

The fourth proportional to 13,134.14, 19,687.03 and 6,475.26 is: 9,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.14 : 19,687.03 = 6,475.26 : x
  2. Step 2: Convert to fraction form
    13,134.14/19,687.03 = 6,475.26/x
  3. Step 3: Cross multiply
    13,134.14x = 19,687.03 × 6,475.26
  4. Step 4: Simplify right side
    13,134.14x = 127,478,621.69
  5. Step 5: Solve for x
    x = 127,478,621.69/13,134.14
  6. Step 6: Final answer
    x = 9,705.90

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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.