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Finding the Fourth Proportional to 19,525.80, 29,288.43 and 12,509.22

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Solution

The fourth proportional to 19,525.80, 29,288.43 and 12,509.22 is: 18,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,525.80 : 29,288.43 = 12,509.22 : x
  2. Step 2: Convert to fraction form
    19,525.80/29,288.43 = 12,509.22/x
  3. Step 3: Cross multiply
    19,525.80x = 29,288.43 × 12,509.22
  4. Step 4: Simplify right side
    19,525.80x = 366,375,414.32
  5. Step 5: Solve for x
    x = 366,375,414.32/19,525.80
  6. Step 6: Final answer
    x = 18,763.66

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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.