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Finding the Fourth Proportional to 29,656.71, 40,926.38 and 16,228.08

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Solution

The fourth proportional to 29,656.71, 40,926.38 and 16,228.08 is: 22,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.71 : 40,926.38 = 16,228.08 : x
  2. Step 2: Convert to fraction form
    29,656.71/40,926.38 = 16,228.08/x
  3. Step 3: Cross multiply
    29,656.71x = 40,926.38 × 16,228.08
  4. Step 4: Simplify right side
    29,656.71x = 664,156,487.61
  5. Step 5: Solve for x
    x = 664,156,487.61/29,656.71
  6. Step 6: Final answer
    x = 22,394.81

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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.