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Finding the Fourth Proportional to 29,810.22, 41,138.19 and 17,874.06

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Solution

The fourth proportional to 29,810.22, 41,138.19 and 17,874.06 is: 24,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810.22 : 41,138.19 = 17,874.06 : x
  2. Step 2: Convert to fraction form
    29,810.22/41,138.19 = 17,874.06/x
  3. Step 3: Cross multiply
    29,810.22x = 41,138.19 × 17,874.06
  4. Step 4: Simplify right side
    29,810.22x = 735,306,476.35
  5. Step 5: Solve for x
    x = 735,306,476.35/29,810.22
  6. Step 6: Final answer
    x = 24,666.25

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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.