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Finding the Fourth Proportional to 12,132.67, 16,740.74 and 7,883.41

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Solution

The fourth proportional to 12,132.67, 16,740.74 and 7,883.41 is: 10,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.67 : 16,740.74 = 7,883.41 : x
  2. Step 2: Convert to fraction form
    12,132.67/16,740.74 = 7,883.41/x
  3. Step 3: Cross multiply
    12,132.67x = 16,740.74 × 7,883.41
  4. Step 4: Simplify right side
    12,132.67x = 131,974,117.12
  5. Step 5: Solve for x
    x = 131,974,117.12/12,132.67
  6. Step 6: Final answer
    x = 10,877.58

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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.