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Finding the Fourth Proportional to 29,113.68, 40,173.12 and 16,536

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Solution

The fourth proportional to 29,113.68, 40,173.12 and 16,536 is: 22,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,113.68 : 40,173.12 = 16,536 : x
  2. Step 2: Convert to fraction form
    29,113.68/40,173.12 = 16,536/x
  3. Step 3: Cross multiply
    29,113.68x = 40,173.12 × 16,536
  4. Step 4: Simplify right side
    29,113.68x = 664,302,712.32
  5. Step 5: Solve for x
    x = 664,302,712.32/29,113.68
  6. Step 6: Final answer
    x = 22,817.55

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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.