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Finding the Fourth Proportional to 12,131.28, 16,740 and 7,420.32

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Solution

The fourth proportional to 12,131.28, 16,740 and 7,420.32 is: 10,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.28 : 16,740 = 7,420.32 : x
  2. Step 2: Convert to fraction form
    12,131.28/16,740 = 7,420.32/x
  3. Step 3: Cross multiply
    12,131.28x = 16,740 × 7,420.32
  4. Step 4: Simplify right side
    12,131.28x = 124,216,156.80
  5. Step 5: Solve for x
    x = 124,216,156.80/12,131.28
  6. Step 6: Final answer
    x = 10,239.33

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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.