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Finding the Fourth Proportional to 24,537.75, 36,813.99 and 7,670.07

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Solution

The fourth proportional to 24,537.75, 36,813.99 and 7,670.07 is: 11,507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.75 : 36,813.99 = 7,670.07 : x
  2. Step 2: Convert to fraction form
    24,537.75/36,813.99 = 7,670.07/x
  3. Step 3: Cross multiply
    24,537.75x = 36,813.99 × 7,670.07
  4. Step 4: Simplify right side
    24,537.75x = 282,365,880.28
  5. Step 5: Solve for x
    x = 282,365,880.28/24,537.75
  6. Step 6: Final answer
    x = 11,507.41

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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.