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Finding the Fourth Proportional to 27,558.29, 41,331.16 and 7,831.96

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Solution

The fourth proportional to 27,558.29, 41,331.16 and 7,831.96 is: 11,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,558.29 : 41,331.16 = 7,831.96 : x
  2. Step 2: Convert to fraction form
    27,558.29/41,331.16 = 7,831.96/x
  3. Step 3: Cross multiply
    27,558.29x = 41,331.16 × 7,831.96
  4. Step 4: Simplify right side
    27,558.29x = 323,703,898.34
  5. Step 5: Solve for x
    x = 323,703,898.34/27,558.29
  6. Step 6: Final answer
    x = 11,746.15

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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.