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Finding the Fourth Proportional to 12,280.32, 18,425.97 and 6,435.59

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Solution

The fourth proportional to 12,280.32, 18,425.97 and 6,435.59 is: 9,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.32 : 18,425.97 = 6,435.59 : x
  2. Step 2: Convert to fraction form
    12,280.32/18,425.97 = 6,435.59/x
  3. Step 3: Cross multiply
    12,280.32x = 18,425.97 × 6,435.59
  4. Step 4: Simplify right side
    12,280.32x = 118,581,896.14
  5. Step 5: Solve for x
    x = 118,581,896.14/12,280.32
  6. Step 6: Final answer
    x = 9,656.25

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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.