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Finding the Fourth Proportional to 20,533.14, 30,653.87 and 19,804.14

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Solution

The fourth proportional to 20,533.14, 30,653.87 and 19,804.14 is: 29,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.14 : 30,653.87 = 19,804.14 : x
  2. Step 2: Convert to fraction form
    20,533.14/30,653.87 = 19,804.14/x
  3. Step 3: Cross multiply
    20,533.14x = 30,653.87 × 19,804.14
  4. Step 4: Simplify right side
    20,533.14x = 607,073,434.00
  5. Step 5: Solve for x
    x = 607,073,434.00/20,533.14
  6. Step 6: Final answer
    x = 29,565.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.