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Finding the Fourth Proportional to 16,801.47, 25,207.65 and 8,037

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Solution

The fourth proportional to 16,801.47, 25,207.65 and 8,037 is: 12,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.47 : 25,207.65 = 8,037 : x
  2. Step 2: Convert to fraction form
    16,801.47/25,207.65 = 8,037/x
  3. Step 3: Cross multiply
    16,801.47x = 25,207.65 × 8,037
  4. Step 4: Simplify right side
    16,801.47x = 202,593,883.05
  5. Step 5: Solve for x
    x = 202,593,883.05/16,801.47
  6. Step 6: Final answer
    x = 12,058.10

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Why These Related Problems?

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