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Finding the Fourth Proportional to 13,889.53, 20,839.15 and 4,029.40

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Solution

The fourth proportional to 13,889.53, 20,839.15 and 4,029.40 is: 6,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.53 : 20,839.15 = 4,029.40 : x
  2. Step 2: Convert to fraction form
    13,889.53/20,839.15 = 4,029.40/x
  3. Step 3: Cross multiply
    13,889.53x = 20,839.15 × 4,029.40
  4. Step 4: Simplify right side
    13,889.53x = 83,969,166.81
  5. Step 5: Solve for x
    x = 83,969,166.81/13,889.53
  6. Step 6: Final answer
    x = 6,045.50

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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.