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Finding the Fourth Proportional to 29,986.88, 41,385.54 and 17,411.63

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Solution

The fourth proportional to 29,986.88, 41,385.54 and 17,411.63 is: 24,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986.88 : 41,385.54 = 17,411.63 : x
  2. Step 2: Convert to fraction form
    29,986.88/41,385.54 = 17,411.63/x
  3. Step 3: Cross multiply
    29,986.88x = 41,385.54 × 17,411.63
  4. Step 4: Simplify right side
    29,986.88x = 720,589,502.90
  5. Step 5: Solve for x
    x = 720,589,502.90/29,986.88
  6. Step 6: Final answer
    x = 24,030.16

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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.