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Finding the Fourth Proportional to 12,025.50, 16,595.19 and 7,057.50

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Solution

The fourth proportional to 12,025.50, 16,595.19 and 7,057.50 is: 9,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.50 : 16,595.19 = 7,057.50 : x
  2. Step 2: Convert to fraction form
    12,025.50/16,595.19 = 7,057.50/x
  3. Step 3: Cross multiply
    12,025.50x = 16,595.19 × 7,057.50
  4. Step 4: Simplify right side
    12,025.50x = 117,120,553.43
  5. Step 5: Solve for x
    x = 117,120,553.43/12,025.50
  6. Step 6: Final answer
    x = 9,739.35

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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.