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Finding the Fourth Proportional to 27,764.34, 38,315.88 and 15,189.18

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Solution

The fourth proportional to 27,764.34, 38,315.88 and 15,189.18 is: 20,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.34 : 38,315.88 = 15,189.18 : x
  2. Step 2: Convert to fraction form
    27,764.34/38,315.88 = 15,189.18/x
  3. Step 3: Cross multiply
    27,764.34x = 38,315.88 × 15,189.18
  4. Step 4: Simplify right side
    27,764.34x = 581,986,798.18
  5. Step 5: Solve for x
    x = 581,986,798.18/27,764.34
  6. Step 6: Final answer
    x = 20,961.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.