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Finding the Fourth Proportional to 16,136.90, 24,202 and 6,275.96

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Solution

The fourth proportional to 16,136.90, 24,202 and 6,275.96 is: 9,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.90 : 24,202 = 6,275.96 : x
  2. Step 2: Convert to fraction form
    16,136.90/24,202 = 6,275.96/x
  3. Step 3: Cross multiply
    16,136.90x = 24,202 × 6,275.96
  4. Step 4: Simplify right side
    16,136.90x = 151,890,783.92
  5. Step 5: Solve for x
    x = 151,890,783.92/16,136.90
  6. Step 6: Final answer
    x = 9,412.64

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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.