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Finding the Fourth Proportional to 14,033.60, 21,043.15 and 5,146.65

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Solution

The fourth proportional to 14,033.60, 21,043.15 and 5,146.65 is: 7,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.60 : 21,043.15 = 5,146.65 : x
  2. Step 2: Convert to fraction form
    14,033.60/21,043.15 = 5,146.65/x
  3. Step 3: Cross multiply
    14,033.60x = 21,043.15 × 5,146.65
  4. Step 4: Simplify right side
    14,033.60x = 108,301,847.44
  5. Step 5: Solve for x
    x = 108,301,847.44/14,033.60
  6. Step 6: Final answer
    x = 7,717.32

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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.