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Finding the Fourth Proportional to 27,649.76, 41,459.24 and 16,409.66

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Solution

The fourth proportional to 27,649.76, 41,459.24 and 16,409.66 is: 24,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.76 : 41,459.24 = 16,409.66 : x
  2. Step 2: Convert to fraction form
    27,649.76/41,459.24 = 16,409.66/x
  3. Step 3: Cross multiply
    27,649.76x = 41,459.24 × 16,409.66
  4. Step 4: Simplify right side
    27,649.76x = 680,332,032.26
  5. Step 5: Solve for x
    x = 680,332,032.26/27,649.76
  6. Step 6: Final answer
    x = 24,605.35

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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.