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Finding the Fourth Proportional to 29,741.22, 41,042.64 and 16,312.23

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Solution

The fourth proportional to 29,741.22, 41,042.64 and 16,312.23 is: 22,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.22 : 41,042.64 = 16,312.23 : x
  2. Step 2: Convert to fraction form
    29,741.22/41,042.64 = 16,312.23/x
  3. Step 3: Cross multiply
    29,741.22x = 41,042.64 × 16,312.23
  4. Step 4: Simplify right side
    29,741.22x = 669,497,044.66
  5. Step 5: Solve for x
    x = 669,497,044.66/29,741.22
  6. Step 6: Final answer
    x = 22,510.75

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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.