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Finding the Fourth Proportional to 16,714.62, 23,051.45 and 10,340.20

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Solution

The fourth proportional to 16,714.62, 23,051.45 and 10,340.20 is: 14,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.62 : 23,051.45 = 10,340.20 : x
  2. Step 2: Convert to fraction form
    16,714.62/23,051.45 = 10,340.20/x
  3. Step 3: Cross multiply
    16,714.62x = 23,051.45 × 10,340.20
  4. Step 4: Simplify right side
    16,714.62x = 238,356,436.33
  5. Step 5: Solve for x
    x = 238,356,436.33/16,714.62
  6. Step 6: Final answer
    x = 14,260.36

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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.