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Finding the Fourth Proportional to 12,435.94, 18,661.59 and 5,040.46

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Solution

The fourth proportional to 12,435.94, 18,661.59 and 5,040.46 is: 7,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.94 : 18,661.59 = 5,040.46 : x
  2. Step 2: Convert to fraction form
    12,435.94/18,661.59 = 5,040.46/x
  3. Step 3: Cross multiply
    12,435.94x = 18,661.59 × 5,040.46
  4. Step 4: Simplify right side
    12,435.94x = 94,062,997.93
  5. Step 5: Solve for x
    x = 94,062,997.93/12,435.94
  6. Step 6: Final answer
    x = 7,563.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.