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Finding the Fourth Proportional to 13,378.88, 20,051.01 and 11,517.50

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Solution

The fourth proportional to 13,378.88, 20,051.01 and 11,517.50 is: 17,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.88 : 20,051.01 = 11,517.50 : x
  2. Step 2: Convert to fraction form
    13,378.88/20,051.01 = 11,517.50/x
  3. Step 3: Cross multiply
    13,378.88x = 20,051.01 × 11,517.50
  4. Step 4: Simplify right side
    13,378.88x = 230,937,557.80
  5. Step 5: Solve for x
    x = 230,937,557.80/13,378.88
  6. Step 6: Final answer
    x = 17,261.35

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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.