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Finding the Fourth Proportional to 13,379.63, 18,464.04 and 7,411.40

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Solution

The fourth proportional to 13,379.63, 18,464.04 and 7,411.40 is: 10,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.63 : 18,464.04 = 7,411.40 : x
  2. Step 2: Convert to fraction form
    13,379.63/18,464.04 = 7,411.40/x
  3. Step 3: Cross multiply
    13,379.63x = 18,464.04 × 7,411.40
  4. Step 4: Simplify right side
    13,379.63x = 136,844,293.74
  5. Step 5: Solve for x
    x = 136,844,293.74/13,379.63
  6. Step 6: Final answer
    x = 10,227.81

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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.