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Finding the Fourth Proportional to 13,484.84, 20,231.24 and 6,915.60

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Solution

The fourth proportional to 13,484.84, 20,231.24 and 6,915.60 is: 10,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.84 : 20,231.24 = 6,915.60 : x
  2. Step 2: Convert to fraction form
    13,484.84/20,231.24 = 6,915.60/x
  3. Step 3: Cross multiply
    13,484.84x = 20,231.24 × 6,915.60
  4. Step 4: Simplify right side
    13,484.84x = 139,911,128.77
  5. Step 5: Solve for x
    x = 139,911,128.77/13,484.84
  6. Step 6: Final answer
    x = 10,375.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.