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Finding the Fourth Proportional to 16,804.46, 25,173.89 and 10,214.30

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Solution

The fourth proportional to 16,804.46, 25,173.89 and 10,214.30 is: 15,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.46 : 25,173.89 = 10,214.30 : x
  2. Step 2: Convert to fraction form
    16,804.46/25,173.89 = 10,214.30/x
  3. Step 3: Cross multiply
    16,804.46x = 25,173.89 × 10,214.30
  4. Step 4: Simplify right side
    16,804.46x = 257,133,714.79
  5. Step 5: Solve for x
    x = 257,133,714.79/16,804.46
  6. Step 6: Final answer
    x = 15,301.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.