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Finding the Fourth Proportional to 29,589, 40,838.10 and 17,488.98

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Solution

The fourth proportional to 29,589, 40,838.10 and 17,488.98 is: 24,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,589 : 40,838.10 = 17,488.98 : x
  2. Step 2: Convert to fraction form
    29,589/40,838.10 = 17,488.98/x
  3. Step 3: Cross multiply
    29,589x = 40,838.10 × 17,488.98
  4. Step 4: Simplify right side
    29,589x = 714,216,714.14
  5. Step 5: Solve for x
    x = 714,216,714.14/29,589
  6. Step 6: Final answer
    x = 24,137.91

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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.