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Finding the Fourth Proportional to 21,423.72, 32,139.36 and 8,274.99

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Solution

The fourth proportional to 21,423.72, 32,139.36 and 8,274.99 is: 12,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.72 : 32,139.36 = 8,274.99 : x
  2. Step 2: Convert to fraction form
    21,423.72/32,139.36 = 8,274.99/x
  3. Step 3: Cross multiply
    21,423.72x = 32,139.36 × 8,274.99
  4. Step 4: Simplify right side
    21,423.72x = 265,952,882.61
  5. Step 5: Solve for x
    x = 265,952,882.61/21,423.72
  6. Step 6: Final answer
    x = 12,413.95

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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.