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Finding the Fourth Proportional to 16,898.64, 25,349.40 and 5,214.48

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Solution

The fourth proportional to 16,898.64, 25,349.40 and 5,214.48 is: 7,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.64 : 25,349.40 = 5,214.48 : x
  2. Step 2: Convert to fraction form
    16,898.64/25,349.40 = 5,214.48/x
  3. Step 3: Cross multiply
    16,898.64x = 25,349.40 × 5,214.48
  4. Step 4: Simplify right side
    16,898.64x = 132,183,939.31
  5. Step 5: Solve for x
    x = 132,183,939.31/16,898.64
  6. Step 6: Final answer
    x = 7,822.16

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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.