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Finding the Fourth Proportional to 13,228.74, 18,252.78 and 7,636.50

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Solution

The fourth proportional to 13,228.74, 18,252.78 and 7,636.50 is: 10,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.74 : 18,252.78 = 7,636.50 : x
  2. Step 2: Convert to fraction form
    13,228.74/18,252.78 = 7,636.50/x
  3. Step 3: Cross multiply
    13,228.74x = 18,252.78 × 7,636.50
  4. Step 4: Simplify right side
    13,228.74x = 139,387,354.47
  5. Step 5: Solve for x
    x = 139,387,354.47/13,228.74
  6. Step 6: Final answer
    x = 10,536.71

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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.