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Finding the Fourth Proportional to 13,607.54, 20,419.19 and 5,709.35

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Solution

The fourth proportional to 13,607.54, 20,419.19 and 5,709.35 is: 8,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.54 : 20,419.19 = 5,709.35 : x
  2. Step 2: Convert to fraction form
    13,607.54/20,419.19 = 5,709.35/x
  3. Step 3: Cross multiply
    13,607.54x = 20,419.19 × 5,709.35
  4. Step 4: Simplify right side
    13,607.54x = 116,580,346.34
  5. Step 5: Solve for x
    x = 116,580,346.34/13,607.54
  6. Step 6: Final answer
    x = 8,567.33

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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.