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Finding the Fourth Proportional to 13,002.56, 19,503.72 and 6,759.35

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Solution

The fourth proportional to 13,002.56, 19,503.72 and 6,759.35 is: 10,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.56 : 19,503.72 = 6,759.35 : x
  2. Step 2: Convert to fraction form
    13,002.56/19,503.72 = 6,759.35/x
  3. Step 3: Cross multiply
    13,002.56x = 19,503.72 × 6,759.35
  4. Step 4: Simplify right side
    13,002.56x = 131,832,372.26
  5. Step 5: Solve for x
    x = 131,832,372.26/13,002.56
  6. Step 6: Final answer
    x = 10,138.96

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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.