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Finding the Fourth Proportional to 16,714.89, 23,065.74 and 10,004.22

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Solution

The fourth proportional to 16,714.89, 23,065.74 and 10,004.22 is: 13,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.89 : 23,065.74 = 10,004.22 : x
  2. Step 2: Convert to fraction form
    16,714.89/23,065.74 = 10,004.22/x
  3. Step 3: Cross multiply
    16,714.89x = 23,065.74 × 10,004.22
  4. Step 4: Simplify right side
    16,714.89x = 230,754,737.42
  5. Step 5: Solve for x
    x = 230,754,737.42/16,714.89
  6. Step 6: Final answer
    x = 13,805.34

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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.