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Finding the Fourth Proportional to 24,741.69, 34,113.47 and 17,194.29

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Solution

The fourth proportional to 24,741.69, 34,113.47 and 17,194.29 is: 23,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.69 : 34,113.47 = 17,194.29 : x
  2. Step 2: Convert to fraction form
    24,741.69/34,113.47 = 17,194.29/x
  3. Step 3: Cross multiply
    24,741.69x = 34,113.47 × 17,194.29
  4. Step 4: Simplify right side
    24,741.69x = 586,556,810.11
  5. Step 5: Solve for x
    x = 586,556,810.11/24,741.69
  6. Step 6: Final answer
    x = 23,707.22

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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.