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Finding the Fourth Proportional to 16,714.74, 23,063.42 and 9,541.38

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Solution

The fourth proportional to 16,714.74, 23,063.42 and 9,541.38 is: 13,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.74 : 23,063.42 = 9,541.38 : x
  2. Step 2: Convert to fraction form
    16,714.74/23,063.42 = 9,541.38/x
  3. Step 3: Cross multiply
    16,714.74x = 23,063.42 × 9,541.38
  4. Step 4: Simplify right side
    16,714.74x = 220,056,806.61
  5. Step 5: Solve for x
    x = 220,056,806.61/16,714.74
  6. Step 6: Final answer
    x = 13,165.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.