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Finding the Fourth Proportional to 13,009.72, 19,516.50 and 3,774.52

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Solution

The fourth proportional to 13,009.72, 19,516.50 and 3,774.52 is: 5,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.72 : 19,516.50 = 3,774.52 : x
  2. Step 2: Convert to fraction form
    13,009.72/19,516.50 = 3,774.52/x
  3. Step 3: Cross multiply
    13,009.72x = 19,516.50 × 3,774.52
  4. Step 4: Simplify right side
    13,009.72x = 73,665,419.58
  5. Step 5: Solve for x
    x = 73,665,419.58/13,009.72
  6. Step 6: Final answer
    x = 5,662.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.