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Finding the Fourth Proportional to 13,915.34, 19,205.14 and 8,611.87

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Solution

The fourth proportional to 13,915.34, 19,205.14 and 8,611.87 is: 11,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.34 : 19,205.14 = 8,611.87 : x
  2. Step 2: Convert to fraction form
    13,915.34/19,205.14 = 8,611.87/x
  3. Step 3: Cross multiply
    13,915.34x = 19,205.14 × 8,611.87
  4. Step 4: Simplify right side
    13,915.34x = 165,392,169.01
  5. Step 5: Solve for x
    x = 165,392,169.01/13,915.34
  6. Step 6: Final answer
    x = 11,885.60

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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.