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Finding the Fourth Proportional to 28,204.76, 42,307.91 and 8,213.46

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Solution

The fourth proportional to 28,204.76, 42,307.91 and 8,213.46 is: 12,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.76 : 42,307.91 = 8,213.46 : x
  2. Step 2: Convert to fraction form
    28,204.76/42,307.91 = 8,213.46/x
  3. Step 3: Cross multiply
    28,204.76x = 42,307.91 × 8,213.46
  4. Step 4: Simplify right side
    28,204.76x = 347,494,203.75
  5. Step 5: Solve for x
    x = 347,494,203.75/28,204.76
  6. Step 6: Final answer
    x = 12,320.41

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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.