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Finding the Fourth Proportional to 14,145.23, 19,520.74 and 7,772.21

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Solution

The fourth proportional to 14,145.23, 19,520.74 and 7,772.21 is: 10,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.23 : 19,520.74 = 7,772.21 : x
  2. Step 2: Convert to fraction form
    14,145.23/19,520.74 = 7,772.21/x
  3. Step 3: Cross multiply
    14,145.23x = 19,520.74 × 7,772.21
  4. Step 4: Simplify right side
    14,145.23x = 151,719,320.01
  5. Step 5: Solve for x
    x = 151,719,320.01/14,145.23
  6. Step 6: Final answer
    x = 10,725.83

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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.