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Finding the Fourth Proportional to 29,985.20, 41,382.52 and 17,409.20

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Solution

The fourth proportional to 29,985.20, 41,382.52 and 17,409.20 is: 24,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.20 : 41,382.52 = 17,409.20 : x
  2. Step 2: Convert to fraction form
    29,985.20/41,382.52 = 17,409.20/x
  3. Step 3: Cross multiply
    29,985.20x = 41,382.52 × 17,409.20
  4. Step 4: Simplify right side
    29,985.20x = 720,436,567.18
  5. Step 5: Solve for x
    x = 720,436,567.18/29,985.20
  6. Step 6: Final answer
    x = 24,026.41

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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.