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Finding the Fourth Proportional to 14,385.60, 19,828.80 and 11,728.80

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Solution

The fourth proportional to 14,385.60, 19,828.80 and 11,728.80 is: 16,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.60 : 19,828.80 = 11,728.80 : x
  2. Step 2: Convert to fraction form
    14,385.60/19,828.80 = 11,728.80/x
  3. Step 3: Cross multiply
    14,385.60x = 19,828.80 × 11,728.80
  4. Step 4: Simplify right side
    14,385.60x = 232,568,029.44
  5. Step 5: Solve for x
    x = 232,568,029.44/14,385.60
  6. Step 6: Final answer
    x = 16,166.72

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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.