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Finding the Fourth Proportional to 29,544.68, 40,776 and 17,615

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Solution

The fourth proportional to 29,544.68, 40,776 and 17,615 is: 24,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544.68 : 40,776 = 17,615 : x
  2. Step 2: Convert to fraction form
    29,544.68/40,776 = 17,615/x
  3. Step 3: Cross multiply
    29,544.68x = 40,776 × 17,615
  4. Step 4: Simplify right side
    29,544.68x = 718,269,240
  5. Step 5: Solve for x
    x = 718,269,240/29,544.68
  6. Step 6: Final answer
    x = 24,311.29

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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.