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Finding the Fourth Proportional to 19,733.64, 29,605.50 and 16,229.40

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Solution

The fourth proportional to 19,733.64, 29,605.50 and 16,229.40 is: 24,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733.64 : 29,605.50 = 16,229.40 : x
  2. Step 2: Convert to fraction form
    19,733.64/29,605.50 = 16,229.40/x
  3. Step 3: Cross multiply
    19,733.64x = 29,605.50 × 16,229.40
  4. Step 4: Simplify right side
    19,733.64x = 480,479,501.70
  5. Step 5: Solve for x
    x = 480,479,501.70/19,733.64
  6. Step 6: Final answer
    x = 24,348.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.