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Finding the Fourth Proportional to 13,280.21, 18,326.64 and 7,311.89

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Solution

The fourth proportional to 13,280.21, 18,326.64 and 7,311.89 is: 10,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,280.21 : 18,326.64 = 7,311.89 : x
  2. Step 2: Convert to fraction form
    13,280.21/18,326.64 = 7,311.89/x
  3. Step 3: Cross multiply
    13,280.21x = 18,326.64 × 7,311.89
  4. Step 4: Simplify right side
    13,280.21x = 134,002,284.12
  5. Step 5: Solve for x
    x = 134,002,284.12/13,280.21
  6. Step 6: Final answer
    x = 10,090.38

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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.