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Finding the Fourth Proportional to 12,423.86, 17,147.40 and 7,122.26

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Solution

The fourth proportional to 12,423.86, 17,147.40 and 7,122.26 is: 9,830.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.86 : 17,147.40 = 7,122.26 : x
  2. Step 2: Convert to fraction form
    12,423.86/17,147.40 = 7,122.26/x
  3. Step 3: Cross multiply
    12,423.86x = 17,147.40 × 7,122.26
  4. Step 4: Simplify right side
    12,423.86x = 122,128,241.12
  5. Step 5: Solve for x
    x = 122,128,241.12/12,423.86
  6. Step 6: Final answer
    x = 9,830.14

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