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Finding the Fourth Proportional to 21,280.66, 31,923.18 and 8,144.08

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Solution

The fourth proportional to 21,280.66, 31,923.18 and 8,144.08 is: 12,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,280.66 : 31,923.18 = 8,144.08 : x
  2. Step 2: Convert to fraction form
    21,280.66/31,923.18 = 8,144.08/x
  3. Step 3: Cross multiply
    21,280.66x = 31,923.18 × 8,144.08
  4. Step 4: Simplify right side
    21,280.66x = 259,984,931.77
  5. Step 5: Solve for x
    x = 259,984,931.77/21,280.66
  6. Step 6: Final answer
    x = 12,216.96

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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.