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Finding the Fourth Proportional to 12,216.50, 16,858.86 and 6,627.50

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Solution

The fourth proportional to 12,216.50, 16,858.86 and 6,627.50 is: 9,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.50 : 16,858.86 = 6,627.50 : x
  2. Step 2: Convert to fraction form
    12,216.50/16,858.86 = 6,627.50/x
  3. Step 3: Cross multiply
    12,216.50x = 16,858.86 × 6,627.50
  4. Step 4: Simplify right side
    12,216.50x = 111,732,094.65
  5. Step 5: Solve for x
    x = 111,732,094.65/12,216.50
  6. Step 6: Final answer
    x = 9,146.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.