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Finding the Fourth Proportional to 12,422.89, 18,671.19 and 11,506.24

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Solution

The fourth proportional to 12,422.89, 18,671.19 and 11,506.24 is: 17,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.89 : 18,671.19 = 11,506.24 : x
  2. Step 2: Convert to fraction form
    12,422.89/18,671.19 = 11,506.24/x
  3. Step 3: Cross multiply
    12,422.89x = 18,671.19 × 11,506.24
  4. Step 4: Simplify right side
    12,422.89x = 214,835,193.23
  5. Step 5: Solve for x
    x = 214,835,193.23/12,422.89
  6. Step 6: Final answer
    x = 17,293.50

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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.