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Finding the Fourth Proportional to 29,706, 40,994.28 and 16,458

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Solution

The fourth proportional to 29,706, 40,994.28 and 16,458 is: 22,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706 : 40,994.28 = 16,458 : x
  2. Step 2: Convert to fraction form
    29,706/40,994.28 = 16,458/x
  3. Step 3: Cross multiply
    29,706x = 40,994.28 × 16,458
  4. Step 4: Simplify right side
    29,706x = 674,683,860.24
  5. Step 5: Solve for x
    x = 674,683,860.24/29,706
  6. Step 6: Final answer
    x = 22,712.04

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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.