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Finding the Fourth Proportional to 23,238.33, 34,858.57 and 7,656.09

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Solution

The fourth proportional to 23,238.33, 34,858.57 and 7,656.09 is: 11,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.33 : 34,858.57 = 7,656.09 : x
  2. Step 2: Convert to fraction form
    23,238.33/34,858.57 = 7,656.09/x
  3. Step 3: Cross multiply
    23,238.33x = 34,858.57 × 7,656.09
  4. Step 4: Simplify right side
    23,238.33x = 266,880,349.19
  5. Step 5: Solve for x
    x = 266,880,349.19/23,238.33
  6. Step 6: Final answer
    x = 11,484.49

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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.