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Finding the Fourth Proportional to 12,147.84, 16,771.76 and 9,915.04

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Solution

The fourth proportional to 12,147.84, 16,771.76 and 9,915.04 is: 13,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.84 : 16,771.76 = 9,915.04 : x
  2. Step 2: Convert to fraction form
    12,147.84/16,771.76 = 9,915.04/x
  3. Step 3: Cross multiply
    12,147.84x = 16,771.76 × 9,915.04
  4. Step 4: Simplify right side
    12,147.84x = 166,292,671.27
  5. Step 5: Solve for x
    x = 166,292,671.27/12,147.84
  6. Step 6: Final answer
    x = 13,689.07

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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.