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Finding the Fourth Proportional to 29,838.09, 41,175.01 and 16,409.00

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Solution

The fourth proportional to 29,838.09, 41,175.01 and 16,409.00 is: 22,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838.09 : 41,175.01 = 16,409.00 : x
  2. Step 2: Convert to fraction form
    29,838.09/41,175.01 = 16,409.00/x
  3. Step 3: Cross multiply
    29,838.09x = 41,175.01 × 16,409.00
  4. Step 4: Simplify right side
    29,838.09x = 675,640,533.21
  5. Step 5: Solve for x
    x = 675,640,533.21/29,838.09
  6. Step 6: Final answer
    x = 22,643.56

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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.