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Finding the Fourth Proportional to 14,915.12, 20,582.96 and 8,200.52

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Solution

The fourth proportional to 14,915.12, 20,582.96 and 8,200.52 is: 11,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.12 : 20,582.96 = 8,200.52 : x
  2. Step 2: Convert to fraction form
    14,915.12/20,582.96 = 8,200.52/x
  3. Step 3: Cross multiply
    14,915.12x = 20,582.96 × 8,200.52
  4. Step 4: Simplify right side
    14,915.12x = 168,790,975.14
  5. Step 5: Solve for x
    x = 168,790,975.14/14,915.12
  6. Step 6: Final answer
    x = 11,316.77

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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.