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Finding the Fourth Proportional to 20,807.08, 31,220 and 11,322.28

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Solution

The fourth proportional to 20,807.08, 31,220 and 11,322.28 is: 16,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.08 : 31,220 = 11,322.28 : x
  2. Step 2: Convert to fraction form
    20,807.08/31,220 = 11,322.28/x
  3. Step 3: Cross multiply
    20,807.08x = 31,220 × 11,322.28
  4. Step 4: Simplify right side
    20,807.08x = 353,481,581.60
  5. Step 5: Solve for x
    x = 353,481,581.60/20,807.08
  6. Step 6: Final answer
    x = 16,988.52

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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.