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Finding the Fourth Proportional to 12,627.48, 17,423.94 and 7,321.20

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Solution

The fourth proportional to 12,627.48, 17,423.94 and 7,321.20 is: 10,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.48 : 17,423.94 = 7,321.20 : x
  2. Step 2: Convert to fraction form
    12,627.48/17,423.94 = 7,321.20/x
  3. Step 3: Cross multiply
    12,627.48x = 17,423.94 × 7,321.20
  4. Step 4: Simplify right side
    12,627.48x = 127,564,149.53
  5. Step 5: Solve for x
    x = 127,564,149.53/12,627.48
  6. Step 6: Final answer
    x = 10,102.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.