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Finding the Fourth Proportional to 20,784.64, 31,172.50 and 5,990.80

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Solution

The fourth proportional to 20,784.64, 31,172.50 and 5,990.80 is: 8,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.64 : 31,172.50 = 5,990.80 : x
  2. Step 2: Convert to fraction form
    20,784.64/31,172.50 = 5,990.80/x
  3. Step 3: Cross multiply
    20,784.64x = 31,172.50 × 5,990.80
  4. Step 4: Simplify right side
    20,784.64x = 186,748,213
  5. Step 5: Solve for x
    x = 186,748,213/20,784.64
  6. Step 6: Final answer
    x = 8,984.91

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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.