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Finding the Fourth Proportional to 23,136, 34,701.42 and 6,496.68

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Solution

The fourth proportional to 23,136, 34,701.42 and 6,496.68 is: 9,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 34,701.42 = 6,496.68 : x
  2. Step 2: Convert to fraction form
    23,136/34,701.42 = 6,496.68/x
  3. Step 3: Cross multiply
    23,136x = 34,701.42 × 6,496.68
  4. Step 4: Simplify right side
    23,136x = 225,444,021.29
  5. Step 5: Solve for x
    x = 225,444,021.29/23,136
  6. Step 6: Final answer
    x = 9,744.30

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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.