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Finding the Fourth Proportional to 29,102.88, 40,161.76 and 17,166.24

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Solution

The fourth proportional to 29,102.88, 40,161.76 and 17,166.24 is: 23,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,102.88 : 40,161.76 = 17,166.24 : x
  2. Step 2: Convert to fraction form
    29,102.88/40,161.76 = 17,166.24/x
  3. Step 3: Cross multiply
    29,102.88x = 40,161.76 × 17,166.24
  4. Step 4: Simplify right side
    29,102.88x = 689,426,410.98
  5. Step 5: Solve for x
    x = 689,426,410.98/29,102.88
  6. Step 6: Final answer
    x = 23,689.28

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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.