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Finding the Fourth Proportional to 25,136.98, 37,699.24 and 8,496.64

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Solution

The fourth proportional to 25,136.98, 37,699.24 and 8,496.64 is: 12,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,136.98 : 37,699.24 = 8,496.64 : x
  2. Step 2: Convert to fraction form
    25,136.98/37,699.24 = 8,496.64/x
  3. Step 3: Cross multiply
    25,136.98x = 37,699.24 × 8,496.64
  4. Step 4: Simplify right side
    25,136.98x = 320,316,870.55
  5. Step 5: Solve for x
    x = 320,316,870.55/25,136.98
  6. Step 6: Final answer
    x = 12,742.85

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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.