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Finding the Fourth Proportional to 13,880.70, 20,822.13 and 4,020.12

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Solution

The fourth proportional to 13,880.70, 20,822.13 and 4,020.12 is: 6,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.70 : 20,822.13 = 4,020.12 : x
  2. Step 2: Convert to fraction form
    13,880.70/20,822.13 = 4,020.12/x
  3. Step 3: Cross multiply
    13,880.70x = 20,822.13 × 4,020.12
  4. Step 4: Simplify right side
    13,880.70x = 83,707,461.26
  5. Step 5: Solve for x
    x = 83,707,461.26/13,880.70
  6. Step 6: Final answer
    x = 6,030.49

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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.