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Finding the Fourth Proportional to 29,834.74, 41,172.99 and 16,407.01

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Solution

The fourth proportional to 29,834.74, 41,172.99 and 16,407.01 is: 22,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.74 : 41,172.99 = 16,407.01 : x
  2. Step 2: Convert to fraction form
    29,834.74/41,172.99 = 16,407.01/x
  3. Step 3: Cross multiply
    29,834.74x = 41,172.99 × 16,407.01
  4. Step 4: Simplify right side
    29,834.74x = 675,525,452.79
  5. Step 5: Solve for x
    x = 675,525,452.79/29,834.74
  6. Step 6: Final answer
    x = 22,642.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.