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Finding the Fourth Proportional to 16,395, 24,592.50 and 4,083

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Solution

The fourth proportional to 16,395, 24,592.50 and 4,083 is: 6,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,395 : 24,592.50 = 4,083 : x
  2. Step 2: Convert to fraction form
    16,395/24,592.50 = 4,083/x
  3. Step 3: Cross multiply
    16,395x = 24,592.50 × 4,083
  4. Step 4: Simplify right side
    16,395x = 100,411,177.50
  5. Step 5: Solve for x
    x = 100,411,177.50/16,395
  6. Step 6: Final answer
    x = 6,124.50

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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.