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Finding the Fourth Proportional to 20,896.70, 31,349.16 and 9,210.02

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Solution

The fourth proportional to 20,896.70, 31,349.16 and 9,210.02 is: 13,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.70 : 31,349.16 = 9,210.02 : x
  2. Step 2: Convert to fraction form
    20,896.70/31,349.16 = 9,210.02/x
  3. Step 3: Cross multiply
    20,896.70x = 31,349.16 × 9,210.02
  4. Step 4: Simplify right side
    20,896.70x = 288,726,390.58
  5. Step 5: Solve for x
    x = 288,726,390.58/20,896.70
  6. Step 6: Final answer
    x = 13,816.84

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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.