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Finding the Fourth Proportional to 13,513.88, 20,266.98 and 5,193.32

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Solution

The fourth proportional to 13,513.88, 20,266.98 and 5,193.32 is: 7,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.88 : 20,266.98 = 5,193.32 : x
  2. Step 2: Convert to fraction form
    13,513.88/20,266.98 = 5,193.32/x
  3. Step 3: Cross multiply
    13,513.88x = 20,266.98 × 5,193.32
  4. Step 4: Simplify right side
    13,513.88x = 105,252,912.57
  5. Step 5: Solve for x
    x = 105,252,912.57/13,513.88
  6. Step 6: Final answer
    x = 7,788.50

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Why These Related Problems?

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