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Finding the Fourth Proportional to 12,232.55, 16,883.94 and 6,930.50

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Solution

The fourth proportional to 12,232.55, 16,883.94 and 6,930.50 is: 9,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.55 : 16,883.94 = 6,930.50 : x
  2. Step 2: Convert to fraction form
    12,232.55/16,883.94 = 6,930.50/x
  3. Step 3: Cross multiply
    12,232.55x = 16,883.94 × 6,930.50
  4. Step 4: Simplify right side
    12,232.55x = 117,014,146.17
  5. Step 5: Solve for x
    x = 117,014,146.17/12,232.55
  6. Step 6: Final answer
    x = 9,565.80

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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.