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Finding the Fourth Proportional to 12,176.88, 18,228.06 and 7,798.56

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Solution

The fourth proportional to 12,176.88, 18,228.06 and 7,798.56 is: 11,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.88 : 18,228.06 = 7,798.56 : x
  2. Step 2: Convert to fraction form
    12,176.88/18,228.06 = 7,798.56/x
  3. Step 3: Cross multiply
    12,176.88x = 18,228.06 × 7,798.56
  4. Step 4: Simplify right side
    12,176.88x = 142,152,619.59
  5. Step 5: Solve for x
    x = 142,152,619.59/12,176.88
  6. Step 6: Final answer
    x = 11,673.98

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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.