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Finding the Fourth Proportional to 29,741.66, 41,047.14 and 17,166.40

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Solution

The fourth proportional to 29,741.66, 41,047.14 and 17,166.40 is: 23,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.66 : 41,047.14 = 17,166.40 : x
  2. Step 2: Convert to fraction form
    29,741.66/41,047.14 = 17,166.40/x
  3. Step 3: Cross multiply
    29,741.66x = 41,047.14 × 17,166.40
  4. Step 4: Simplify right side
    29,741.66x = 704,631,624.10
  5. Step 5: Solve for x
    x = 704,631,624.10/29,741.66
  6. Step 6: Final answer
    x = 23,691.74

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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.