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Finding the Fourth Proportional to 20,970.84, 31,467.19 and 8,500.08

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Solution

The fourth proportional to 20,970.84, 31,467.19 and 8,500.08 is: 12,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970.84 : 31,467.19 = 8,500.08 : x
  2. Step 2: Convert to fraction form
    20,970.84/31,467.19 = 8,500.08/x
  3. Step 3: Cross multiply
    20,970.84x = 31,467.19 × 8,500.08
  4. Step 4: Simplify right side
    20,970.84x = 267,473,632.38
  5. Step 5: Solve for x
    x = 267,473,632.38/20,970.84
  6. Step 6: Final answer
    x = 12,754.55

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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.