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Finding the Fourth Proportional to 13,281.81, 18,327.38 and 7,615

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Solution

The fourth proportional to 13,281.81, 18,327.38 and 7,615 is: 10,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.81 : 18,327.38 = 7,615 : x
  2. Step 2: Convert to fraction form
    13,281.81/18,327.38 = 7,615/x
  3. Step 3: Cross multiply
    13,281.81x = 18,327.38 × 7,615
  4. Step 4: Simplify right side
    13,281.81x = 139,562,998.70
  5. Step 5: Solve for x
    x = 139,562,998.70/13,281.81
  6. Step 6: Final answer
    x = 10,507.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.