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Finding the Fourth Proportional to 27,002.68, 40,503.74 and 9,233.18

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Solution

The fourth proportional to 27,002.68, 40,503.74 and 9,233.18 is: 13,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.68 : 40,503.74 = 9,233.18 : x
  2. Step 2: Convert to fraction form
    27,002.68/40,503.74 = 9,233.18/x
  3. Step 3: Cross multiply
    27,002.68x = 40,503.74 × 9,233.18
  4. Step 4: Simplify right side
    27,002.68x = 373,978,322.09
  5. Step 5: Solve for x
    x = 373,978,322.09/27,002.68
  6. Step 6: Final answer
    x = 13,849.67

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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.