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Finding the Fourth Proportional to 13,423.67, 20,130.73 and 5,101.48

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Solution

The fourth proportional to 13,423.67, 20,130.73 and 5,101.48 is: 7,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.67 : 20,130.73 = 5,101.48 : x
  2. Step 2: Convert to fraction form
    13,423.67/20,130.73 = 5,101.48/x
  3. Step 3: Cross multiply
    13,423.67x = 20,130.73 × 5,101.48
  4. Step 4: Simplify right side
    13,423.67x = 102,696,528.89
  5. Step 5: Solve for x
    x = 102,696,528.89/13,423.67
  6. Step 6: Final answer
    x = 7,650.40

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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.