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Finding the Fourth Proportional to 13,606.29, 18,775.65 and 7,636.82

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Solution

The fourth proportional to 13,606.29, 18,775.65 and 7,636.82 is: 10,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,606.29 : 18,775.65 = 7,636.82 : x
  2. Step 2: Convert to fraction form
    13,606.29/18,775.65 = 7,636.82/x
  3. Step 3: Cross multiply
    13,606.29x = 18,775.65 × 7,636.82
  4. Step 4: Simplify right side
    13,606.29x = 143,386,165.55
  5. Step 5: Solve for x
    x = 143,386,165.55/13,606.29
  6. Step 6: Final answer
    x = 10,538.23

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