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Finding the Fourth Proportional to 27,023.68, 40,532.10 and 7,303.60

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Solution

The fourth proportional to 27,023.68, 40,532.10 and 7,303.60 is: 10,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023.68 : 40,532.10 = 7,303.60 : x
  2. Step 2: Convert to fraction form
    27,023.68/40,532.10 = 7,303.60/x
  3. Step 3: Cross multiply
    27,023.68x = 40,532.10 × 7,303.60
  4. Step 4: Simplify right side
    27,023.68x = 296,030,245.56
  5. Step 5: Solve for x
    x = 296,030,245.56/27,023.68
  6. Step 6: Final answer
    x = 10,954.48

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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.