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Finding the Fourth Proportional to 12,607.84, 17,395.32 and 8,131.78

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Solution

The fourth proportional to 12,607.84, 17,395.32 and 8,131.78 is: 11,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,607.84 : 17,395.32 = 8,131.78 : x
  2. Step 2: Convert to fraction form
    12,607.84/17,395.32 = 8,131.78/x
  3. Step 3: Cross multiply
    12,607.84x = 17,395.32 × 8,131.78
  4. Step 4: Simplify right side
    12,607.84x = 141,454,915.27
  5. Step 5: Solve for x
    x = 141,454,915.27/12,607.84
  6. Step 6: Final answer
    x = 11,219.60

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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.