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Finding the Fourth Proportional to 29,633.58, 40,894.88 and 16,205.40

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Solution

The fourth proportional to 29,633.58, 40,894.88 and 16,205.40 is: 22,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.58 : 40,894.88 = 16,205.40 : x
  2. Step 2: Convert to fraction form
    29,633.58/40,894.88 = 16,205.40/x
  3. Step 3: Cross multiply
    29,633.58x = 40,894.88 × 16,205.40
  4. Step 4: Simplify right side
    29,633.58x = 662,717,807.33
  5. Step 5: Solve for x
    x = 662,717,807.33/29,633.58
  6. Step 6: Final answer
    x = 22,363.74

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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.