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Finding the Fourth Proportional to 14,145.29, 19,520.51 and 7,772.29

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Solution

The fourth proportional to 14,145.29, 19,520.51 and 7,772.29 is: 10,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.29 : 19,520.51 = 7,772.29 : x
  2. Step 2: Convert to fraction form
    14,145.29/19,520.51 = 7,772.29/x
  3. Step 3: Cross multiply
    14,145.29x = 19,520.51 × 7,772.29
  4. Step 4: Simplify right side
    14,145.29x = 151,719,064.67
  5. Step 5: Solve for x
    x = 151,719,064.67/14,145.29
  6. Step 6: Final answer
    x = 10,725.77

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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.