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Finding the Fourth Proportional to 12,509.49, 18,772.78 and 6,670.20

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Solution

The fourth proportional to 12,509.49, 18,772.78 and 6,670.20 is: 10,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.49 : 18,772.78 = 6,670.20 : x
  2. Step 2: Convert to fraction form
    12,509.49/18,772.78 = 6,670.20/x
  3. Step 3: Cross multiply
    12,509.49x = 18,772.78 × 6,670.20
  4. Step 4: Simplify right side
    12,509.49x = 125,218,197.16
  5. Step 5: Solve for x
    x = 125,218,197.16/12,509.49
  6. Step 6: Final answer
    x = 10,009.86

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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.