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Finding the Fourth Proportional to 16,851.88, 25,274.78 and 4,537

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Solution

The fourth proportional to 16,851.88, 25,274.78 and 4,537 is: 6,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.88 : 25,274.78 = 4,537 : x
  2. Step 2: Convert to fraction form
    16,851.88/25,274.78 = 4,537/x
  3. Step 3: Cross multiply
    16,851.88x = 25,274.78 × 4,537
  4. Step 4: Simplify right side
    16,851.88x = 114,671,676.86
  5. Step 5: Solve for x
    x = 114,671,676.86/16,851.88
  6. Step 6: Final answer
    x = 6,804.68

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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.