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Finding the Fourth Proportional to 13,823.76, 19,076.76 and 7,536.12

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Solution

The fourth proportional to 13,823.76, 19,076.76 and 7,536.12 is: 10,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.76 : 19,076.76 = 7,536.12 : x
  2. Step 2: Convert to fraction form
    13,823.76/19,076.76 = 7,536.12/x
  3. Step 3: Cross multiply
    13,823.76x = 19,076.76 × 7,536.12
  4. Step 4: Simplify right side
    13,823.76x = 143,764,752.57
  5. Step 5: Solve for x
    x = 143,764,752.57/13,823.76
  6. Step 6: Final answer
    x = 10,399.83

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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.