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Finding the Fourth Proportional to 29,317.38, 40,463.10 and 17,384.88

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Solution

The fourth proportional to 29,317.38, 40,463.10 and 17,384.88 is: 23,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,317.38 : 40,463.10 = 17,384.88 : x
  2. Step 2: Convert to fraction form
    29,317.38/40,463.10 = 17,384.88/x
  3. Step 3: Cross multiply
    29,317.38x = 40,463.10 × 17,384.88
  4. Step 4: Simplify right side
    29,317.38x = 703,446,137.93
  5. Step 5: Solve for x
    x = 703,446,137.93/29,317.38
  6. Step 6: Final answer
    x = 23,994.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.