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Finding the Fourth Proportional to 13,221.96, 18,246.22 and 7,253.47

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Solution

The fourth proportional to 13,221.96, 18,246.22 and 7,253.47 is: 10,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.96 : 18,246.22 = 7,253.47 : x
  2. Step 2: Convert to fraction form
    13,221.96/18,246.22 = 7,253.47/x
  3. Step 3: Cross multiply
    13,221.96x = 18,246.22 × 7,253.47
  4. Step 4: Simplify right side
    13,221.96x = 132,348,409.38
  5. Step 5: Solve for x
    x = 132,348,409.38/13,221.96
  6. Step 6: Final answer
    x = 10,009.74

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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.