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Finding the Fourth Proportional to 16,999.50, 25,492.33 and 7,637

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Solution

The fourth proportional to 16,999.50, 25,492.33 and 7,637 is: 11,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.50 : 25,492.33 = 7,637 : x
  2. Step 2: Convert to fraction form
    16,999.50/25,492.33 = 7,637/x
  3. Step 3: Cross multiply
    16,999.50x = 25,492.33 × 7,637
  4. Step 4: Simplify right side
    16,999.50x = 194,684,886.03
  5. Step 5: Solve for x
    x = 194,684,886.03/16,999.50
  6. Step 6: Final answer
    x = 11,452.39

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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.