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Finding the Fourth Proportional to 12,209.70, 18,314.55 and 7,025.70

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Solution

The fourth proportional to 12,209.70, 18,314.55 and 7,025.70 is: 10,538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.70 : 18,314.55 = 7,025.70 : x
  2. Step 2: Convert to fraction form
    12,209.70/18,314.55 = 7,025.70/x
  3. Step 3: Cross multiply
    12,209.70x = 18,314.55 × 7,025.70
  4. Step 4: Simplify right side
    12,209.70x = 128,672,533.94
  5. Step 5: Solve for x
    x = 128,672,533.94/12,209.70
  6. Step 6: Final answer
    x = 10,538.55

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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.