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Finding the Fourth Proportional to 29,741.34, 41,043 and 17,166.08

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Solution

The fourth proportional to 29,741.34, 41,043 and 17,166.08 is: 23,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.34 : 41,043 = 17,166.08 : x
  2. Step 2: Convert to fraction form
    29,741.34/41,043 = 17,166.08/x
  3. Step 3: Cross multiply
    29,741.34x = 41,043 × 17,166.08
  4. Step 4: Simplify right side
    29,741.34x = 704,547,421.44
  5. Step 5: Solve for x
    x = 704,547,421.44/29,741.34
  6. Step 6: Final answer
    x = 23,689.16

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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.