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Finding the Fourth Proportional to 13,379.90, 18,462.74 and 7,410.08

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Solution

The fourth proportional to 13,379.90, 18,462.74 and 7,410.08 is: 10,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.90 : 18,462.74 = 7,410.08 : x
  2. Step 2: Convert to fraction form
    13,379.90/18,462.74 = 7,410.08/x
  3. Step 3: Cross multiply
    13,379.90x = 18,462.74 × 7,410.08
  4. Step 4: Simplify right side
    13,379.90x = 136,810,380.42
  5. Step 5: Solve for x
    x = 136,810,380.42/13,379.90
  6. Step 6: Final answer
    x = 10,225.07

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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.