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Finding the Fourth Proportional to 27,037.72, 40,558.96 and 9,507.68

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Solution

The fourth proportional to 27,037.72, 40,558.96 and 9,507.68 is: 14,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,037.72 : 40,558.96 = 9,507.68 : x
  2. Step 2: Convert to fraction form
    27,037.72/40,558.96 = 9,507.68/x
  3. Step 3: Cross multiply
    27,037.72x = 40,558.96 × 9,507.68
  4. Step 4: Simplify right side
    27,037.72x = 385,621,612.81
  5. Step 5: Solve for x
    x = 385,621,612.81/27,037.72
  6. Step 6: Final answer
    x = 14,262.36

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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.