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Finding the Fourth Proportional to 27,705.36, 41,485.14 and 16,585.68

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Solution

The fourth proportional to 27,705.36, 41,485.14 and 16,585.68 is: 24,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.36 : 41,485.14 = 16,585.68 : x
  2. Step 2: Convert to fraction form
    27,705.36/41,485.14 = 16,585.68/x
  3. Step 3: Cross multiply
    27,705.36x = 41,485.14 × 16,585.68
  4. Step 4: Simplify right side
    27,705.36x = 688,059,256.80
  5. Step 5: Solve for x
    x = 688,059,256.80/27,705.36
  6. Step 6: Final answer
    x = 24,834.88

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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.