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Finding the Fourth Proportional to 12,729.60, 19,099.80 and 6,152.40

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Solution

The fourth proportional to 12,729.60, 19,099.80 and 6,152.40 is: 9,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.60 : 19,099.80 = 6,152.40 : x
  2. Step 2: Convert to fraction form
    12,729.60/19,099.80 = 6,152.40/x
  3. Step 3: Cross multiply
    12,729.60x = 19,099.80 × 6,152.40
  4. Step 4: Simplify right side
    12,729.60x = 117,509,609.52
  5. Step 5: Solve for x
    x = 117,509,609.52/12,729.60
  6. Step 6: Final answer
    x = 9,231.21

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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.