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Finding the Fourth Proportional to 20,803.34, 31,212.80 and 10,801.84

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Solution

The fourth proportional to 20,803.34, 31,212.80 and 10,801.84 is: 16,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.34 : 31,212.80 = 10,801.84 : x
  2. Step 2: Convert to fraction form
    20,803.34/31,212.80 = 10,801.84/x
  3. Step 3: Cross multiply
    20,803.34x = 31,212.80 × 10,801.84
  4. Step 4: Simplify right side
    20,803.34x = 337,155,461.48
  5. Step 5: Solve for x
    x = 337,155,461.48/20,803.34
  6. Step 6: Final answer
    x = 16,206.80

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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.