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Finding the Fourth Proportional to 13,174.90, 18,181.83 and 7,510.50

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Solution

The fourth proportional to 13,174.90, 18,181.83 and 7,510.50 is: 10,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.90 : 18,181.83 = 7,510.50 : x
  2. Step 2: Convert to fraction form
    13,174.90/18,181.83 = 7,510.50/x
  3. Step 3: Cross multiply
    13,174.90x = 18,181.83 × 7,510.50
  4. Step 4: Simplify right side
    13,174.90x = 136,554,634.22
  5. Step 5: Solve for x
    x = 136,554,634.22/13,174.90
  6. Step 6: Final answer
    x = 10,364.76

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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.