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Finding the Fourth Proportional to 12,152.59, 16,765.64 and 7,439.60

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Solution

The fourth proportional to 12,152.59, 16,765.64 and 7,439.60 is: 10,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.59 : 16,765.64 = 7,439.60 : x
  2. Step 2: Convert to fraction form
    12,152.59/16,765.64 = 7,439.60/x
  3. Step 3: Cross multiply
    12,152.59x = 16,765.64 × 7,439.60
  4. Step 4: Simplify right side
    12,152.59x = 124,729,687.96
  5. Step 5: Solve for x
    x = 124,729,687.96/12,152.59
  6. Step 6: Final answer
    x = 10,263.63

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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.