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Finding the Fourth Proportional to 19,513.80, 29,218.86 and 10,137.24

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Solution

The fourth proportional to 19,513.80, 29,218.86 and 10,137.24 is: 15,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513.80 : 29,218.86 = 10,137.24 : x
  2. Step 2: Convert to fraction form
    19,513.80/29,218.86 = 10,137.24/x
  3. Step 3: Cross multiply
    19,513.80x = 29,218.86 × 10,137.24
  4. Step 4: Simplify right side
    19,513.80x = 296,198,596.35
  5. Step 5: Solve for x
    x = 296,198,596.35/19,513.80
  6. Step 6: Final answer
    x = 15,178.93

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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.