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Finding the Fourth Proportional to 13,284.38, 18,332.22 and 7,316.61

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Solution

The fourth proportional to 13,284.38, 18,332.22 and 7,316.61 is: 10,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.38 : 18,332.22 = 7,316.61 : x
  2. Step 2: Convert to fraction form
    13,284.38/18,332.22 = 7,316.61/x
  3. Step 3: Cross multiply
    13,284.38x = 18,332.22 × 7,316.61
  4. Step 4: Simplify right side
    13,284.38x = 134,129,662.87
  5. Step 5: Solve for x
    x = 134,129,662.87/13,284.38
  6. Step 6: Final answer
    x = 10,096.79

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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.