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Finding the Fourth Proportional to 12,509.18, 18,763.99 and 4,187.64

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Solution

The fourth proportional to 12,509.18, 18,763.99 and 4,187.64 is: 6,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.18 : 18,763.99 = 4,187.64 : x
  2. Step 2: Convert to fraction form
    12,509.18/18,763.99 = 4,187.64/x
  3. Step 3: Cross multiply
    12,509.18x = 18,763.99 × 4,187.64
  4. Step 4: Simplify right side
    12,509.18x = 78,576,835.08
  5. Step 5: Solve for x
    x = 78,576,835.08/12,509.18
  6. Step 6: Final answer
    x = 6,281.54

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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.