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Finding the Fourth Proportional to 20,027.25, 30,046.01 and 7,547.38

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Solution

The fourth proportional to 20,027.25, 30,046.01 and 7,547.38 is: 11,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.25 : 30,046.01 = 7,547.38 : x
  2. Step 2: Convert to fraction form
    20,027.25/30,046.01 = 7,547.38/x
  3. Step 3: Cross multiply
    20,027.25x = 30,046.01 × 7,547.38
  4. Step 4: Simplify right side
    20,027.25x = 226,768,542.10
  5. Step 5: Solve for x
    x = 226,768,542.10/20,027.25
  6. Step 6: Final answer
    x = 11,323.00

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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.