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Finding the Fourth Proportional to 21,423.70, 32,147.70 and 8,277

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Solution

The fourth proportional to 21,423.70, 32,147.70 and 8,277 is: 12,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.70 : 32,147.70 = 8,277 : x
  2. Step 2: Convert to fraction form
    21,423.70/32,147.70 = 8,277/x
  3. Step 3: Cross multiply
    21,423.70x = 32,147.70 × 8,277
  4. Step 4: Simplify right side
    21,423.70x = 266,086,512.90
  5. Step 5: Solve for x
    x = 266,086,512.90/21,423.70
  6. Step 6: Final answer
    x = 12,420.19

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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.