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Finding the Fourth Proportional to 27,406.15, 37,806.55 and 16,648.16

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Solution

The fourth proportional to 27,406.15, 37,806.55 and 16,648.16 is: 22,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.15 : 37,806.55 = 16,648.16 : x
  2. Step 2: Convert to fraction form
    27,406.15/37,806.55 = 16,648.16/x
  3. Step 3: Cross multiply
    27,406.15x = 37,806.55 × 16,648.16
  4. Step 4: Simplify right side
    27,406.15x = 629,409,546.34
  5. Step 5: Solve for x
    x = 629,409,546.34/27,406.15
  6. Step 6: Final answer
    x = 22,966.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.