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Finding the Fourth Proportional to 13,378.50, 20,068.02 and 3,518.64

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Solution

The fourth proportional to 13,378.50, 20,068.02 and 3,518.64 is: 5,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.50 : 20,068.02 = 3,518.64 : x
  2. Step 2: Convert to fraction form
    13,378.50/20,068.02 = 3,518.64/x
  3. Step 3: Cross multiply
    13,378.50x = 20,068.02 × 3,518.64
  4. Step 4: Simplify right side
    13,378.50x = 70,612,137.89
  5. Step 5: Solve for x
    x = 70,612,137.89/13,378.50
  6. Step 6: Final answer
    x = 5,278.03

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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.