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Finding the Fourth Proportional to 17,136.68, 25,706.66 and 6,746

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Solution

The fourth proportional to 17,136.68, 25,706.66 and 6,746 is: 10,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,136.68 : 25,706.66 = 6,746 : x
  2. Step 2: Convert to fraction form
    17,136.68/25,706.66 = 6,746/x
  3. Step 3: Cross multiply
    17,136.68x = 25,706.66 × 6,746
  4. Step 4: Simplify right side
    17,136.68x = 173,417,128.36
  5. Step 5: Solve for x
    x = 173,417,128.36/17,136.68
  6. Step 6: Final answer
    x = 10,119.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.