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Finding the Fourth Proportional to 16,407, 24,610.50 and 4,095

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Solution

The fourth proportional to 16,407, 24,610.50 and 4,095 is: 6,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407 : 24,610.50 = 4,095 : x
  2. Step 2: Convert to fraction form
    16,407/24,610.50 = 4,095/x
  3. Step 3: Cross multiply
    16,407x = 24,610.50 × 4,095
  4. Step 4: Simplify right side
    16,407x = 100,779,997.50
  5. Step 5: Solve for x
    x = 100,779,997.50/16,407
  6. Step 6: Final answer
    x = 6,142.50

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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.