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Finding the Fourth Proportional to 27,342.96, 41,019.92 and 9,814.16

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Solution

The fourth proportional to 27,342.96, 41,019.92 and 9,814.16 is: 14,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342.96 : 41,019.92 = 9,814.16 : x
  2. Step 2: Convert to fraction form
    27,342.96/41,019.92 = 9,814.16/x
  3. Step 3: Cross multiply
    27,342.96x = 41,019.92 × 9,814.16
  4. Step 4: Simplify right side
    27,342.96x = 402,576,058.07
  5. Step 5: Solve for x
    x = 402,576,058.07/27,342.96
  6. Step 6: Final answer
    x = 14,723.21

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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.