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Finding the Fourth Proportional to 13,823.78, 19,076.76 and 7,536.14

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Solution

The fourth proportional to 13,823.78, 19,076.76 and 7,536.14 is: 10,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.78 : 19,076.76 = 7,536.14 : x
  2. Step 2: Convert to fraction form
    13,823.78/19,076.76 = 7,536.14/x
  3. Step 3: Cross multiply
    13,823.78x = 19,076.76 × 7,536.14
  4. Step 4: Simplify right side
    13,823.78x = 143,765,134.11
  5. Step 5: Solve for x
    x = 143,765,134.11/13,823.78
  6. Step 6: Final answer
    x = 10,399.84

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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.