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Finding the Fourth Proportional to 12,984.18, 17,915.49 and 8,266.74

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Solution

The fourth proportional to 12,984.18, 17,915.49 and 8,266.74 is: 11,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.18 : 17,915.49 = 8,266.74 : x
  2. Step 2: Convert to fraction form
    12,984.18/17,915.49 = 8,266.74/x
  3. Step 3: Cross multiply
    12,984.18x = 17,915.49 × 8,266.74
  4. Step 4: Simplify right side
    12,984.18x = 148,102,697.80
  5. Step 5: Solve for x
    x = 148,102,697.80/12,984.18
  6. Step 6: Final answer
    x = 11,406.40

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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.