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Finding the Fourth Proportional to 13,271.90, 19,906.52 and 4,506.68

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Solution

The fourth proportional to 13,271.90, 19,906.52 and 4,506.68 is: 6,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.90 : 19,906.52 = 4,506.68 : x
  2. Step 2: Convert to fraction form
    13,271.90/19,906.52 = 4,506.68/x
  3. Step 3: Cross multiply
    13,271.90x = 19,906.52 × 4,506.68
  4. Step 4: Simplify right side
    13,271.90x = 89,712,193.49
  5. Step 5: Solve for x
    x = 89,712,193.49/13,271.90
  6. Step 6: Final answer
    x = 6,759.56

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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.