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Finding the Fourth Proportional to 21,423.16, 32,122.41 and 8,273.80

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Solution

The fourth proportional to 21,423.16, 32,122.41 and 8,273.80 is: 12,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.16 : 32,122.41 = 8,273.80 : x
  2. Step 2: Convert to fraction form
    21,423.16/32,122.41 = 8,273.80/x
  3. Step 3: Cross multiply
    21,423.16x = 32,122.41 × 8,273.80
  4. Step 4: Simplify right side
    21,423.16x = 265,774,395.86
  5. Step 5: Solve for x
    x = 265,774,395.86/21,423.16
  6. Step 6: Final answer
    x = 12,405.94

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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.