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Finding the Fourth Proportional to 27,825.12, 41,734.44 and 7,047

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Solution

The fourth proportional to 27,825.12, 41,734.44 and 7,047 is: 10,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.12 : 41,734.44 = 7,047 : x
  2. Step 2: Convert to fraction form
    27,825.12/41,734.44 = 7,047/x
  3. Step 3: Cross multiply
    27,825.12x = 41,734.44 × 7,047
  4. Step 4: Simplify right side
    27,825.12x = 294,102,598.68
  5. Step 5: Solve for x
    x = 294,102,598.68/27,825.12
  6. Step 6: Final answer
    x = 10,569.68

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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.