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Finding the Fourth Proportional to 27,534.34, 41,299.84 and 9,765.88

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Solution

The fourth proportional to 27,534.34, 41,299.84 and 9,765.88 is: 14,648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.34 : 41,299.84 = 9,765.88 : x
  2. Step 2: Convert to fraction form
    27,534.34/41,299.84 = 9,765.88/x
  3. Step 3: Cross multiply
    27,534.34x = 41,299.84 × 9,765.88
  4. Step 4: Simplify right side
    27,534.34x = 403,329,281.46
  5. Step 5: Solve for x
    x = 403,329,281.46/27,534.34
  6. Step 6: Final answer
    x = 14,648.23

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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.