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Finding the Fourth Proportional to 13,609.52, 20,414.28 and 7,032.32

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Solution

The fourth proportional to 13,609.52, 20,414.28 and 7,032.32 is: 10,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.52 : 20,414.28 = 7,032.32 : x
  2. Step 2: Convert to fraction form
    13,609.52/20,414.28 = 7,032.32/x
  3. Step 3: Cross multiply
    13,609.52x = 20,414.28 × 7,032.32
  4. Step 4: Simplify right side
    13,609.52x = 143,559,749.53
  5. Step 5: Solve for x
    x = 143,559,749.53/13,609.52
  6. Step 6: Final answer
    x = 10,548.48

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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.