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Finding the Fourth Proportional to 12,142.37, 16,755.45 and 7,425.74

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Solution

The fourth proportional to 12,142.37, 16,755.45 and 7,425.74 is: 10,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.37 : 16,755.45 = 7,425.74 : x
  2. Step 2: Convert to fraction form
    12,142.37/16,755.45 = 7,425.74/x
  3. Step 3: Cross multiply
    12,142.37x = 16,755.45 × 7,425.74
  4. Step 4: Simplify right side
    12,142.37x = 124,421,615.28
  5. Step 5: Solve for x
    x = 124,421,615.28/12,142.37
  6. Step 6: Final answer
    x = 10,246.90

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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.