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Finding the Fourth Proportional to 23,147.60, 31,941.40 and 12,936.72

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Solution

The fourth proportional to 23,147.60, 31,941.40 and 12,936.72 is: 17,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.60 : 31,941.40 = 12,936.72 : x
  2. Step 2: Convert to fraction form
    23,147.60/31,941.40 = 12,936.72/x
  3. Step 3: Cross multiply
    23,147.60x = 31,941.40 × 12,936.72
  4. Step 4: Simplify right side
    23,147.60x = 413,216,948.21
  5. Step 5: Solve for x
    x = 413,216,948.21/23,147.60
  6. Step 6: Final answer
    x = 17,851.39

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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.