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Finding the Fourth Proportional to 27,320.02, 40,971.93 and 11,734

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Solution

The fourth proportional to 27,320.02, 40,971.93 and 11,734 is: 17,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,320.02 : 40,971.93 = 11,734 : x
  2. Step 2: Convert to fraction form
    27,320.02/40,971.93 = 11,734/x
  3. Step 3: Cross multiply
    27,320.02x = 40,971.93 × 11,734
  4. Step 4: Simplify right side
    27,320.02x = 480,764,626.62
  5. Step 5: Solve for x
    x = 480,764,626.62/27,320.02
  6. Step 6: Final answer
    x = 17,597.52

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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.