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Finding the Fourth Proportional to 27,021.14, 40,509.03 and 9,502.46

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Solution

The fourth proportional to 27,021.14, 40,509.03 and 9,502.46 is: 14,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021.14 : 40,509.03 = 9,502.46 : x
  2. Step 2: Convert to fraction form
    27,021.14/40,509.03 = 9,502.46/x
  3. Step 3: Cross multiply
    27,021.14x = 40,509.03 × 9,502.46
  4. Step 4: Simplify right side
    27,021.14x = 384,935,437.21
  5. Step 5: Solve for x
    x = 384,935,437.21/27,021.14
  6. Step 6: Final answer
    x = 14,245.71

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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.