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Finding the Fourth Proportional to 13,222.48, 18,246.92 and 7,636.56

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Solution

The fourth proportional to 13,222.48, 18,246.92 and 7,636.56 is: 10,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.48 : 18,246.92 = 7,636.56 : x
  2. Step 2: Convert to fraction form
    13,222.48/18,246.92 = 7,636.56/x
  3. Step 3: Cross multiply
    13,222.48x = 18,246.92 × 7,636.56
  4. Step 4: Simplify right side
    13,222.48x = 139,343,699.40
  5. Step 5: Solve for x
    x = 139,343,699.40/13,222.48
  6. Step 6: Final answer
    x = 10,538.39

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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.