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Finding the Fourth Proportional to 12,190.60, 16,824.15 and 7,656.58

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Solution

The fourth proportional to 12,190.60, 16,824.15 and 7,656.58 is: 10,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.60 : 16,824.15 = 7,656.58 : x
  2. Step 2: Convert to fraction form
    12,190.60/16,824.15 = 7,656.58/x
  3. Step 3: Cross multiply
    12,190.60x = 16,824.15 × 7,656.58
  4. Step 4: Simplify right side
    12,190.60x = 128,815,450.41
  5. Step 5: Solve for x
    x = 128,815,450.41/12,190.60
  6. Step 6: Final answer
    x = 10,566.79

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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.